3(x+8)=2(x-9)

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Solution for 3(x+8)=2(x-9) equation:


Simplifying
3(x + 8) = 2(x + -9)

Reorder the terms:
3(8 + x) = 2(x + -9)
(8 * 3 + x * 3) = 2(x + -9)
(24 + 3x) = 2(x + -9)

Reorder the terms:
24 + 3x = 2(-9 + x)
24 + 3x = (-9 * 2 + x * 2)
24 + 3x = (-18 + 2x)

Solving
24 + 3x = -18 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
24 + 3x + -2x = -18 + 2x + -2x

Combine like terms: 3x + -2x = 1x
24 + 1x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 1x = -18 + 0
24 + 1x = -18

Add '-24' to each side of the equation.
24 + -24 + 1x = -18 + -24

Combine like terms: 24 + -24 = 0
0 + 1x = -18 + -24
1x = -18 + -24

Combine like terms: -18 + -24 = -42
1x = -42

Divide each side by '1'.
x = -42

Simplifying
x = -42

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