4(x+7)=-(x+12)+2(x+1)

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Solution for 4(x+7)=-(x+12)+2(x+1) equation:


Simplifying
4(x + 7) = -1(x + 12) + 2(x + 1)

Reorder the terms:
4(7 + x) = -1(x + 12) + 2(x + 1)
(7 * 4 + x * 4) = -1(x + 12) + 2(x + 1)
(28 + 4x) = -1(x + 12) + 2(x + 1)

Reorder the terms:
28 + 4x = -1(12 + x) + 2(x + 1)
28 + 4x = (12 * -1 + x * -1) + 2(x + 1)
28 + 4x = (-12 + -1x) + 2(x + 1)

Reorder the terms:
28 + 4x = -12 + -1x + 2(1 + x)
28 + 4x = -12 + -1x + (1 * 2 + x * 2)
28 + 4x = -12 + -1x + (2 + 2x)

Reorder the terms:
28 + 4x = -12 + 2 + -1x + 2x

Combine like terms: -12 + 2 = -10
28 + 4x = -10 + -1x + 2x

Combine like terms: -1x + 2x = 1x
28 + 4x = -10 + 1x

Solving
28 + 4x = -10 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
28 + 4x + -1x = -10 + 1x + -1x

Combine like terms: 4x + -1x = 3x
28 + 3x = -10 + 1x + -1x

Combine like terms: 1x + -1x = 0
28 + 3x = -10 + 0
28 + 3x = -10

Add '-28' to each side of the equation.
28 + -28 + 3x = -10 + -28

Combine like terms: 28 + -28 = 0
0 + 3x = -10 + -28
3x = -10 + -28

Combine like terms: -10 + -28 = -38
3x = -38

Divide each side by '3'.
x = -12.66666667

Simplifying
x = -12.66666667

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