Question

Solve the equation for x 1/3 (6x-15) = 1/2(10x-4)

Answer 1

For this case we must solve the following equation for x:

`\frac {1} {3} (6x-15) = \frac {1} {2} (10x-4)`

We apply distributive property to the terms of parentheses:

`2x-5 = 5x-2`

We subtract 5x on both sides of the equation:

`2x-5x-5 = -2\\-3x-5 = -2`

Suamos 5 on both sides of the equation:

`-3x = -2 + 5\\-3x = 3\\x = - \frac {3} {3}\\x = -1`

Answer:

`x = -1`