5-3(x+2)=(2x+7)-(x-12)

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Solution for 5-3(x+2)=(2x+7)-(x-12) equation:


Simplifying
5 + -3(x + 2) = (2x + 7) + -1(x + -12)

Reorder the terms:
5 + -3(2 + x) = (2x + 7) + -1(x + -12)
5 + (2 * -3 + x * -3) = (2x + 7) + -1(x + -12)
5 + (-6 + -3x) = (2x + 7) + -1(x + -12)

Combine like terms: 5 + -6 = -1
-1 + -3x = (2x + 7) + -1(x + -12)

Reorder the terms:
-1 + -3x = (7 + 2x) + -1(x + -12)

Remove parenthesis around (7 + 2x)
-1 + -3x = 7 + 2x + -1(x + -12)

Reorder the terms:
-1 + -3x = 7 + 2x + -1(-12 + x)
-1 + -3x = 7 + 2x + (-12 * -1 + x * -1)
-1 + -3x = 7 + 2x + (12 + -1x)

Reorder the terms:
-1 + -3x = 7 + 12 + 2x + -1x

Combine like terms: 7 + 12 = 19
-1 + -3x = 19 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-1 + -3x = 19 + 1x

Solving
-1 + -3x = 19 + 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.
-1 + -3x + -1x = 19 + 1x + -1x

Combine like terms: -3x + -1x = -4x
-1 + -4x = 19 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1 + -4x = 19 + 0
-1 + -4x = 19

Add '1' to each side of the equation.
-1 + 1 + -4x = 19 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 19 + 1
-4x = 19 + 1

Combine like terms: 19 + 1 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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