# How do you solve 1/2(4x+6)=1/3(9x-24)?

Nov 19, 2016

$x = 11$

#### Explanation:

Step 1) Multiply out the terms within parenthesis:

$\left(\frac{1}{2} \cdot 4 x\right) + \left(\frac{1}{2} \cdot 6\right) = \left(\frac{1}{3} \cdot 9 x\right) - \left(\frac{1}{3} \cdot 24\right)$

$2 x + 3 = 3 x - 8$

Step 2) Solve for $x$ while keeping the equation balanced:

$2 x + 3 - 2 x + 8 = 3 x - 8 - 2 x + 8$

$3 + 8 = 3 x - 2 x$

$11 = x$