6(x+1)+3=-3(x-9)-7

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Solution for 6(x+1)+3=-3(x-9)-7 equation: 


Simplifying
6(x + 1) + 3 = -3(x + -9) + -7

Reorder the terms:
6(1 + x) + 3 = -3(x + -9) + -7
(1 * 6 + x * 6) + 3 = -3(x + -9) + -7
(6 + 6x) + 3 = -3(x + -9) + -7

Reorder the terms:
6 + 3 + 6x = -3(x + -9) + -7

Combine like terms: 6 + 3 = 9
9 + 6x = -3(x + -9) + -7

Reorder the terms:
9 + 6x = -3(-9 + x) + -7
9 + 6x = (-9 * -3 + x * -3) + -7
9 + 6x = (27 + -3x) + -7

Reorder the terms:
9 + 6x = 27 + -7 + -3x

Combine like terms: 27 + -7 = 20
9 + 6x = 20 + -3x

Solving
9 + 6x = 20 + -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.
9 + 6x + 3x = 20 + -3x + 3x

Combine like terms: 6x + 3x = 9x
9 + 9x = 20 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 9x = 20 + 0
9 + 9x = 20

Add '-9' to each side of the equation.
9 + -9 + 9x = 20 + -9

Combine like terms: 9 + -9 = 0
0 + 9x = 20 + -9
9x = 20 + -9

Combine like terms: 20 + -9 = 11
9x = 11

Divide each side by '9'.
x = 1.222222222

Simplifying
x = 1.222222222

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