Question

solve the following equation:
9x+5=5x-7​

Answer 1

Answer:

Simplifying

9x + 5 = 5x + 7

Reorder the terms:

5 + 9x = 5x + 7

Reorder the terms:

5 + 9x = 7 + 5x

Solving

5 + 9x = 7 + 5x

Solving for variable 'x'.

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

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

5 + 9x + -5x = 7 + 5x + -5x

Combine like terms: 9x + -5x = 4x

5 + 4x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0

5 + 4x = 7 + 0

5 + 4x = 7

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

5 + -5 + 4x = 7 + -5

Combine like terms: 5 + -5 = 0

0 + 4x = 7 + -5

4x = 7 + -5

Combine like terms: 7 + -5 = 2

4x = 2

Divide each side by '4'.

x = 0.5

Simplifying

x = 0.5