x+7=-3(5-x)

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


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

Reorder the terms:
7 + x = -3(5 + -1x)
7 + x = (5 * -3 + -1x * -3)
7 + x = (-15 + 3x)

Solving
7 + x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + x + -3x = -15 + 3x + -3x

Combine like terms: x + -3x = -2x
7 + -2x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -2x = -15 + 0
7 + -2x = -15

Add '-7' to each side of the equation.
7 + -7 + -2x = -15 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -15 + -7
-2x = -15 + -7

Combine like terms: -15 + -7 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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