# Solve the Equation x = 4/5(x + 10)

• Last Updated : 21 Jul, 2021

Linear equations in one variable are equations that are written as ax + b = 0, where a and b are two integers and x is a variable, and there is only one solution. 3x+2=5, for example, is a linear equation with only one variable. As a result, there is only one solution to this equation, which is x = 3/11. A linear equation in two variables, on the other hand, has two solutions.

A one-variable linear equation is one with a maximum of one variable of order one. The formula is ax + b = 0, using x as the variable.

Hey! Looking for some great resources suitable for young ones? You've come to the right place. Check out our self-paced courses designed for students of grades I-XII

Start with topics like Python, HTML, ML, and learn to make some games and apps all with the help of our expertly designed content! So students worry no more, because GeeksforGeeks School is now here!

There is just one solution to this equation. Here are a few examples:

• 4x = 8
• 5x + 10 = -20
• 1 + 6x = 11

Linear equations in one variable are written in standard form as:

ax + b = 0

Here,

• The numbers ‘a’ and ‘b’ are real.
• Neither ‘a’ nor ‘b’ are equal to zero.

Solving Linear Equations in One Variable

The steps for solving an equation with only one variable are as follows:

Step 1: If there are any fractions, use LCM to remove them.

Step 2: Both sides of the equation should be simplified.

Step 3: Remove the variable from the equation.

Step 4: Make sure your response is correct.

For Example:

Consider the equation: 4x – 3 = -2x + 12

Solving the above equation for x as follows:

4x – 3 = -2x + 12

4x + (-2x) = 12 + 3

2x = 15

x = 15/2

### Solve the Equation x = 4/5(x + 10)

Solution:

Given that,

x = 4/5 (x +10)

When we multiply both sides by 5, we get

5x = 4 (x + 10)

5x = 4x + 40

After subtracting 4x from both sides, we obtain that

5x – 4x = 4x + 40 – 4x

x = 40

Hence, the value of x is 40.

### Similar Questions

Question 1: Solve for z, 2z = 4z +2.

Given that,

2z = 4z + 2

After subtracting 4z from both sides, we obtain that

2z – 4z = 4z + 2 – 4z

-2z = 2

Let’s divide both side of the above equation by -2 as,

x = -1

Question 2: Solve for y, 2y – 4 = 0

Given that,

2y – 4 = 0

After subtracting 2y from both sides, we obtain that

2y – 2y – 4 = 0 – 2y

-4 = -2y

or

4 = 2y

Let’s divide both side of the above equation by 2 as,

y = 2

My Personal Notes arrow_drop_up
Recommended Articles
Page :