-3(x+4)=2(x-7)+24

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Solution for -3(x+4)=2(x-7)+24 equation:


Simplifying
-3(x + 4) = 2(x + -7) + 24

Reorder the terms:
-3(4 + x) = 2(x + -7) + 24
(4 * -3 + x * -3) = 2(x + -7) + 24
(-12 + -3x) = 2(x + -7) + 24

Reorder the terms:
-12 + -3x = 2(-7 + x) + 24
-12 + -3x = (-7 * 2 + x * 2) + 24
-12 + -3x = (-14 + 2x) + 24

Reorder the terms:
-12 + -3x = -14 + 24 + 2x

Combine like terms: -14 + 24 = 10
-12 + -3x = 10 + 2x

Solving
-12 + -3x = 10 + 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.
-12 + -3x + -2x = 10 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-12 + -5x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + -5x = 10 + 0
-12 + -5x = 10

Add '12' to each side of the equation.
-12 + 12 + -5x = 10 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = 10 + 12
-5x = 10 + 12

Combine like terms: 10 + 12 = 22
-5x = 22

Divide each side by '-5'.
x = -4.4

Simplifying
x = -4.4

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