9-(2x-6)=-3(x+1)-4

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Solution for 9-(2x-6)=-3(x+1)-4 equation: 


Simplifying
9 + -1(2x + -6) = -3(x + 1) + -4

Reorder the terms:
9 + -1(-6 + 2x) = -3(x + 1) + -4
9 + (-6 * -1 + 2x * -1) = -3(x + 1) + -4
9 + (6 + -2x) = -3(x + 1) + -4

Combine like terms: 9 + 6 = 15
15 + -2x = -3(x + 1) + -4

Reorder the terms:
15 + -2x = -3(1 + x) + -4
15 + -2x = (1 * -3 + x * -3) + -4
15 + -2x = (-3 + -3x) + -4

Reorder the terms:
15 + -2x = -3 + -4 + -3x

Combine like terms: -3 + -4 = -7
15 + -2x = -7 + -3x

Solving
15 + -2x = -7 + -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.
15 + -2x + 3x = -7 + -3x + 3x

Combine like terms: -2x + 3x = 1x
15 + 1x = -7 + -3x + 3x

Combine like terms: -3x + 3x = 0
15 + 1x = -7 + 0
15 + 1x = -7

Add '-15' to each side of the equation.
15 + -15 + 1x = -7 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = -7 + -15
1x = -7 + -15

Combine like terms: -7 + -15 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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