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

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Answer 1 · 2016-11-19T02:15:12

$x = 11$

Step 1) Multiply out the terms within parenthesis:

$(1/2 * 4x) + (1/2 * 6) = (1/3 * 9x) - (1/3 * 24)$

$2x + 3 = 3x - 8$

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

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

$3 + 8 = 3x - 2x$

$11 = x$

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