2(x-4)=-3(x+4)+21

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Solution for 2(x-4)=-3(x+4)+21 equation: 


Simplifying
2(x + -4) = -3(x + 4) + 21

Reorder the terms:
2(-4 + x) = -3(x + 4) + 21
(-4 * 2 + x * 2) = -3(x + 4) + 21
(-8 + 2x) = -3(x + 4) + 21

Reorder the terms:
-8 + 2x = -3(4 + x) + 21
-8 + 2x = (4 * -3 + x * -3) + 21
-8 + 2x = (-12 + -3x) + 21

Reorder the terms:
-8 + 2x = -12 + 21 + -3x

Combine like terms: -12 + 21 = 9
-8 + 2x = 9 + -3x

Solving
-8 + 2x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + 2x + 3x = 9 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-8 + 5x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 5x = 9 + 0
-8 + 5x = 9

Add '8' to each side of the equation.
-8 + 8 + 5x = 9 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 9 + 8
5x = 9 + 8

Combine like terms: 9 + 8 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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