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

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


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

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

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

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

Combine like terms: 9 + 9 = 18
18 + 9x + -3x = 2(x + -3) + 3(x + -4)

Combine like terms: 9x + -3x = 6x
18 + 6x = 2(x + -3) + 3(x + -4)

Reorder the terms:
18 + 6x = 2(-3 + x) + 3(x + -4)
18 + 6x = (-3 * 2 + x * 2) + 3(x + -4)
18 + 6x = (-6 + 2x) + 3(x + -4)

Reorder the terms:
18 + 6x = -6 + 2x + 3(-4 + x)
18 + 6x = -6 + 2x + (-4 * 3 + x * 3)
18 + 6x = -6 + 2x + (-12 + 3x)

Reorder the terms:
18 + 6x = -6 + -12 + 2x + 3x

Combine like terms: -6 + -12 = -18
18 + 6x = -18 + 2x + 3x

Combine like terms: 2x + 3x = 5x
18 + 6x = -18 + 5x

Solving
18 + 6x = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + 6x + -5x = -18 + 5x + -5x

Combine like terms: 6x + -5x = 1x
18 + 1x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 1x = -18 + 0
18 + 1x = -18

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

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

Combine like terms: -18 + -18 = -36
1x = -36

Divide each side by '1'.
x = -36

Simplifying
x = -36

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