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

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


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

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

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

Reorder the terms:
7 + 2x = -5 + -2(2 + x)
7 + 2x = -5 + (2 * -2 + x * -2)
7 + 2x = -5 + (-4 + -2x)

Combine like terms: -5 + -4 = -9
7 + 2x = -9 + -2x

Solving
7 + 2x = -9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
7 + 2x + 2x = -9 + -2x + 2x

Combine like terms: 2x + 2x = 4x
7 + 4x = -9 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + 4x = -9 + 0
7 + 4x = -9

Add '-7' to each side of the equation.
7 + -7 + 4x = -9 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = -9 + -7
4x = -9 + -7

Combine like terms: -9 + -7 = -16
4x = -16

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

Simplifying
x = -4

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