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

Problem: Solve Equation x = 4/5(x + 10)

Solution:

Given: 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.

What are Linear Equations?

Linear equations in one variable are equations that are written as ax + b = 0, where a and b are two integers 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 = 1. A linear equation in two variables, on the other hand, has two solutions and so on.

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.

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 

Where, 

• Numbers ‘a’ and ‘b’ are Real Numbers
• Neither ‘a’ nor ‘b’ are equal to zero.

Similar Questions

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

Solution:

Given,

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

Solution:

Given,

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

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

Solution:

Solving above equation for x as follows:

4x – 3 = -2x + 12

4x – (-2x) = 12 + 3

6x = 15

x = 15/6