Question

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

Answer 1

Answer:

x = - 1

Step-by-step explanation:

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

Expand the terms in the bracket

That's

$\frac{1 }{3} \times 6x + \frac{1}{3} ( - 15) = \frac{1}{2} (10x) + \frac{1}{2} ( - 4) \\ 2x - 5 = 5x - 2$

Subtract 5x from both sides

$2x - 5x - 5 = 5x - 5x - 2 \\ - 3x - 5 = - 2$

Add 5 to both sides

$- 3x - 5 + 5 = - 2 + 5 \\ - 3x = 3$

Divide both sides by - 3

$\frac{ - 3x}{ - 3} = \frac{3}{ - 3}$

We have the final answer as

x = - 1

Hope this helps you