6(x+3)+3=-2(x-6)-7

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Solution for 6(x+3)+3=-2(x-6)-7 equation: 


Simplifying
6(x + 3) + 3 = -2(x + -6) + -7

Reorder the terms:
6(3 + x) + 3 = -2(x + -6) + -7
(3 * 6 + x * 6) + 3 = -2(x + -6) + -7
(18 + 6x) + 3 = -2(x + -6) + -7

Reorder the terms:
18 + 3 + 6x = -2(x + -6) + -7

Combine like terms: 18 + 3 = 21
21 + 6x = -2(x + -6) + -7

Reorder the terms:
21 + 6x = -2(-6 + x) + -7
21 + 6x = (-6 * -2 + x * -2) + -7
21 + 6x = (12 + -2x) + -7

Reorder the terms:
21 + 6x = 12 + -7 + -2x

Combine like terms: 12 + -7 = 5
21 + 6x = 5 + -2x

Solving
21 + 6x = 5 + -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.
21 + 6x + 2x = 5 + -2x + 2x

Combine like terms: 6x + 2x = 8x
21 + 8x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + 8x = 5 + 0
21 + 8x = 5

Add '-21' to each side of the equation.
21 + -21 + 8x = 5 + -21

Combine like terms: 21 + -21 = 0
0 + 8x = 5 + -21
8x = 5 + -21

Combine like terms: 5 + -21 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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