1/3 (6x-15) = 1/2 (10x-4) solve for x

Simplify 1/3 (6x - 15) to 6x - 15/3

6x - 15/3 = 1/2 (10x - 4)

Factor out the common term; 3

3 (2x - 5) / 3 = 1/2 (10x - 4)

Cancel out 3

2x - 5 = 1/2 (10x - 4)

Simplify 1/2 (10x - 4) to 10x - 4/2

2x - 5 = 10x - 4/2

Factor out the common term; 2

2x - 5 = 2 (5x - 2) / 2

Cancel out 2

2x - 5 = 5x - 2

Subtract 2x from both sides

-5 = 5x - 2 - 2x

Simplify 5x - 2 - 2x to 3x - 2

-5 = 3x - 2

Add 2 to both sides

-5 + 2 = 3x

Simplify - 5 + 2 to - 3

-3 = 3x

Divide both sides by 3

- 1 = x

Switch sides

x = - 1