-5x+21=-5-3(4x-4)

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Solution for -5x+21=-5-3(4x-4) equation: 


Simplifying
-5x + 21 = -5 + -3(4x + -4)

Reorder the terms:
21 + -5x = -5 + -3(4x + -4)

Reorder the terms:
21 + -5x = -5 + -3(-4 + 4x)
21 + -5x = -5 + (-4 * -3 + 4x * -3)
21 + -5x = -5 + (12 + -12x)

Combine like terms: -5 + 12 = 7
21 + -5x = 7 + -12x

Solving
21 + -5x = 7 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
21 + -5x + 12x = 7 + -12x + 12x

Combine like terms: -5x + 12x = 7x
21 + 7x = 7 + -12x + 12x

Combine like terms: -12x + 12x = 0
21 + 7x = 7 + 0
21 + 7x = 7

Add '-21' to each side of the equation.
21 + -21 + 7x = 7 + -21

Combine like terms: 21 + -21 = 0
0 + 7x = 7 + -21
7x = 7 + -21

Combine like terms: 7 + -21 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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