Solve this equation: - 7x + 12 - 2x = 23 + 13x

Question

Mathematics

Violet Walters

4 November, 23:58

Solve this equation: - 7x + 12 - 2x = 23 + 13x

+2

Answers (1)

Know the Answer?

Tom · Answer 1

x = - 1.2

Step-by-step explanation:

Simplifying

-7 + 12 + - 2x = 23 + 13x

Combine like terms: - 7 + 12 = 5

5 + - 2x = 23 + 13x

Solving

5 + - 2x = 23 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.

5 + - 2x + - 13x = 23 + 13x + - 13x

Combine like terms: - 2x + - 13x = - 15x

5 + - 15x = 23 + 13x + - 13x

Combine like terms: 13x + - 13x = 0

5 + - 15x = 23 + 0

5 + - 15x = 23

Add '-5' to each side of the equation.

5 + - 5 + - 15x = 23 + - 5

Combine like terms: 5 + - 5 = 0

0 + - 15x = 23 + - 5

-15x = 23 + - 5

Combine like terms: 23 + - 5 = 18

-15x = 18

Divide each side by '-15'.

x = - 1.2