4(x-2)+15=-(x+12)

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Solution for 4(x-2)+15=-(x+12) equation:


Simplifying
4(x + -2) + 15 = -1(x + 12)

Reorder the terms:
4(-2 + x) + 15 = -1(x + 12)
(-2 * 4 + x * 4) + 15 = -1(x + 12)
(-8 + 4x) + 15 = -1(x + 12)

Reorder the terms:
-8 + 15 + 4x = -1(x + 12)

Combine like terms: -8 + 15 = 7
7 + 4x = -1(x + 12)

Reorder the terms:
7 + 4x = -1(12 + x)
7 + 4x = (12 * -1 + x * -1)
7 + 4x = (-12 + -1x)

Solving
7 + 4x = -12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7 + 4x + x = -12 + -1x + x

Combine like terms: 4x + x = 5x
7 + 5x = -12 + -1x + x

Combine like terms: -1x + x = 0
7 + 5x = -12 + 0
7 + 5x = -12

Add '-7' to each side of the equation.
7 + -7 + 5x = -12 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = -12 + -7
5x = -12 + -7

Combine like terms: -12 + -7 = -19
5x = -19

Divide each side by '5'.
x = -3.8

Simplifying
x = -3.8

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