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

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


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

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

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

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

Combine like terms: 9 + 2 = 11
11 + 9x + -2x = 2(x + -3) + 4(x + -3)

Combine like terms: 9x + -2x = 7x
11 + 7x = 2(x + -3) + 4(x + -3)

Reorder the terms:
11 + 7x = 2(-3 + x) + 4(x + -3)
11 + 7x = (-3 * 2 + x * 2) + 4(x + -3)
11 + 7x = (-6 + 2x) + 4(x + -3)

Reorder the terms:
11 + 7x = -6 + 2x + 4(-3 + x)
11 + 7x = -6 + 2x + (-3 * 4 + x * 4)
11 + 7x = -6 + 2x + (-12 + 4x)

Reorder the terms:
11 + 7x = -6 + -12 + 2x + 4x

Combine like terms: -6 + -12 = -18
11 + 7x = -18 + 2x + 4x

Combine like terms: 2x + 4x = 6x
11 + 7x = -18 + 6x

Solving
11 + 7x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + 7x + -6x = -18 + 6x + -6x

Combine like terms: 7x + -6x = 1x
11 + 1x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + 1x = -18 + 0
11 + 1x = -18

Add '-11' to each side of the equation.
11 + -11 + 1x = -18 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = -18 + -11
1x = -18 + -11

Combine like terms: -18 + -11 = -29
1x = -29

Divide each side by '1'.
x = -29

Simplifying
x = -29

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