4(2-x)+5=-3(2x+3)-12

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Solution for 4(2-x)+5=-3(2x+3)-12 equation: 


Simplifying
4(2 + -1x) + 5 = -3(2x + 3) + -12
(2 * 4 + -1x * 4) + 5 = -3(2x + 3) + -12
(8 + -4x) + 5 = -3(2x + 3) + -12

Reorder the terms:
8 + 5 + -4x = -3(2x + 3) + -12

Combine like terms: 8 + 5 = 13
13 + -4x = -3(2x + 3) + -12

Reorder the terms:
13 + -4x = -3(3 + 2x) + -12
13 + -4x = (3 * -3 + 2x * -3) + -12
13 + -4x = (-9 + -6x) + -12

Reorder the terms:
13 + -4x = -9 + -12 + -6x

Combine like terms: -9 + -12 = -21
13 + -4x = -21 + -6x

Solving
13 + -4x = -21 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
13 + -4x + 6x = -21 + -6x + 6x

Combine like terms: -4x + 6x = 2x
13 + 2x = -21 + -6x + 6x

Combine like terms: -6x + 6x = 0
13 + 2x = -21 + 0
13 + 2x = -21

Add '-13' to each side of the equation.
13 + -13 + 2x = -21 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = -21 + -13
2x = -21 + -13

Combine like terms: -21 + -13 = -34
2x = -34

Divide each side by '2'.
x = -17

Simplifying
x = -17

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