9(2-x)+3(5+2x)=2(7-2x)-4(x-1)

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Solution for 9(2-x)+3(5+2x)=2(7-2x)-4(x-1) equation: 


Simplifying
9(2 + -1x) + 3(5 + 2x) = 2(7 + -2x) + -4(x + -1)
(2 * 9 + -1x * 9) + 3(5 + 2x) = 2(7 + -2x) + -4(x + -1)
(18 + -9x) + 3(5 + 2x) = 2(7 + -2x) + -4(x + -1)
18 + -9x + (5 * 3 + 2x * 3) = 2(7 + -2x) + -4(x + -1)
18 + -9x + (15 + 6x) = 2(7 + -2x) + -4(x + -1)

Reorder the terms:
18 + 15 + -9x + 6x = 2(7 + -2x) + -4(x + -1)

Combine like terms: 18 + 15 = 33
33 + -9x + 6x = 2(7 + -2x) + -4(x + -1)

Combine like terms: -9x + 6x = -3x
33 + -3x = 2(7 + -2x) + -4(x + -1)
33 + -3x = (7 * 2 + -2x * 2) + -4(x + -1)
33 + -3x = (14 + -4x) + -4(x + -1)

Reorder the terms:
33 + -3x = 14 + -4x + -4(-1 + x)
33 + -3x = 14 + -4x + (-1 * -4 + x * -4)
33 + -3x = 14 + -4x + (4 + -4x)

Reorder the terms:
33 + -3x = 14 + 4 + -4x + -4x

Combine like terms: 14 + 4 = 18
33 + -3x = 18 + -4x + -4x

Combine like terms: -4x + -4x = -8x
33 + -3x = 18 + -8x

Solving
33 + -3x = 18 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
33 + -3x + 8x = 18 + -8x + 8x

Combine like terms: -3x + 8x = 5x
33 + 5x = 18 + -8x + 8x

Combine like terms: -8x + 8x = 0
33 + 5x = 18 + 0
33 + 5x = 18

Add '-33' to each side of the equation.
33 + -33 + 5x = 18 + -33

Combine like terms: 33 + -33 = 0
0 + 5x = 18 + -33
5x = 18 + -33

Combine like terms: 18 + -33 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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