6(x+2)+3=-11(x+-7)+-11

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Solution for 6(x+2)+3=-11(x+-7)+-11 equation: 


Simplifying
6(x + 2) + 3 = -11(x + -7) + -11

Reorder the terms:
6(2 + x) + 3 = -11(x + -7) + -11
(2 * 6 + x * 6) + 3 = -11(x + -7) + -11
(12 + 6x) + 3 = -11(x + -7) + -11

Reorder the terms:
12 + 3 + 6x = -11(x + -7) + -11

Combine like terms: 12 + 3 = 15
15 + 6x = -11(x + -7) + -11

Reorder the terms:
15 + 6x = -11(-7 + x) + -11
15 + 6x = (-7 * -11 + x * -11) + -11
15 + 6x = (77 + -11x) + -11

Reorder the terms:
15 + 6x = 77 + -11 + -11x

Combine like terms: 77 + -11 = 66
15 + 6x = 66 + -11x

Solving
15 + 6x = 66 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
15 + 6x + 11x = 66 + -11x + 11x

Combine like terms: 6x + 11x = 17x
15 + 17x = 66 + -11x + 11x

Combine like terms: -11x + 11x = 0
15 + 17x = 66 + 0
15 + 17x = 66

Add '-15' to each side of the equation.
15 + -15 + 17x = 66 + -15

Combine like terms: 15 + -15 = 0
0 + 17x = 66 + -15
17x = 66 + -15

Combine like terms: 66 + -15 = 51
17x = 51

Divide each side by '17'.
x = 3

Simplifying
x = 3

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