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

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


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

Reorder the terms:
9(3 + x) + -2(x + -2) = 2(x + -1) + 4(x + -3)
(3 * 9 + x * 9) + -2(x + -2) = 2(x + -1) + 4(x + -3)
(27 + 9x) + -2(x + -2) = 2(x + -1) + 4(x + -3)

Reorder the terms:
27 + 9x + -2(-2 + x) = 2(x + -1) + 4(x + -3)
27 + 9x + (-2 * -2 + x * -2) = 2(x + -1) + 4(x + -3)
27 + 9x + (4 + -2x) = 2(x + -1) + 4(x + -3)

Reorder the terms:
27 + 4 + 9x + -2x = 2(x + -1) + 4(x + -3)

Combine like terms: 27 + 4 = 31
31 + 9x + -2x = 2(x + -1) + 4(x + -3)

Combine like terms: 9x + -2x = 7x
31 + 7x = 2(x + -1) + 4(x + -3)

Reorder the terms:
31 + 7x = 2(-1 + x) + 4(x + -3)
31 + 7x = (-1 * 2 + x * 2) + 4(x + -3)
31 + 7x = (-2 + 2x) + 4(x + -3)

Reorder the terms:
31 + 7x = -2 + 2x + 4(-3 + x)
31 + 7x = -2 + 2x + (-3 * 4 + x * 4)
31 + 7x = -2 + 2x + (-12 + 4x)

Reorder the terms:
31 + 7x = -2 + -12 + 2x + 4x

Combine like terms: -2 + -12 = -14
31 + 7x = -14 + 2x + 4x

Combine like terms: 2x + 4x = 6x
31 + 7x = -14 + 6x

Solving
31 + 7x = -14 + 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.
31 + 7x + -6x = -14 + 6x + -6x

Combine like terms: 7x + -6x = 1x
31 + 1x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
31 + 1x = -14 + 0
31 + 1x = -14

Add '-31' to each side of the equation.
31 + -31 + 1x = -14 + -31

Combine like terms: 31 + -31 = 0
0 + 1x = -14 + -31
1x = -14 + -31

Combine like terms: -14 + -31 = -45
1x = -45

Divide each side by '1'.
x = -45

Simplifying
x = -45

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