-3(x-7)-6=x+39

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Solution for -3(x-7)-6=x+39 equation: 


Simplifying
-3(x + -7) + -6 = x + 39

Reorder the terms:
-3(-7 + x) + -6 = x + 39
(-7 * -3 + x * -3) + -6 = x + 39
(21 + -3x) + -6 = x + 39

Reorder the terms:
21 + -6 + -3x = x + 39

Combine like terms: 21 + -6 = 15
15 + -3x = x + 39

Reorder the terms:
15 + -3x = 39 + x

Solving
15 + -3x = 39 + x

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.
15 + -3x + -1x = 39 + x + -1x

Combine like terms: -3x + -1x = -4x
15 + -4x = 39 + x + -1x

Combine like terms: x + -1x = 0
15 + -4x = 39 + 0
15 + -4x = 39

Add '-15' to each side of the equation.
15 + -15 + -4x = 39 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 39 + -15
-4x = 39 + -15

Combine like terms: 39 + -15 = 24
-4x = 24

Divide each side by '-4'.
x = -6

Simplifying
x = -6

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