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

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


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

Reorder the terms:
(-2 + -3x) + 4(1 + -1x) = 9(2x + -5) + -3(3x + -5)

Remove parenthesis around (-2 + -3x)
-2 + -3x + 4(1 + -1x) = 9(2x + -5) + -3(3x + -5)
-2 + -3x + (1 * 4 + -1x * 4) = 9(2x + -5) + -3(3x + -5)
-2 + -3x + (4 + -4x) = 9(2x + -5) + -3(3x + -5)

Reorder the terms:
-2 + 4 + -3x + -4x = 9(2x + -5) + -3(3x + -5)

Combine like terms: -2 + 4 = 2
2 + -3x + -4x = 9(2x + -5) + -3(3x + -5)

Combine like terms: -3x + -4x = -7x
2 + -7x = 9(2x + -5) + -3(3x + -5)

Reorder the terms:
2 + -7x = 9(-5 + 2x) + -3(3x + -5)
2 + -7x = (-5 * 9 + 2x * 9) + -3(3x + -5)
2 + -7x = (-45 + 18x) + -3(3x + -5)

Reorder the terms:
2 + -7x = -45 + 18x + -3(-5 + 3x)
2 + -7x = -45 + 18x + (-5 * -3 + 3x * -3)
2 + -7x = -45 + 18x + (15 + -9x)

Reorder the terms:
2 + -7x = -45 + 15 + 18x + -9x

Combine like terms: -45 + 15 = -30
2 + -7x = -30 + 18x + -9x

Combine like terms: 18x + -9x = 9x
2 + -7x = -30 + 9x

Solving
2 + -7x = -30 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + -7x + -9x = -30 + 9x + -9x

Combine like terms: -7x + -9x = -16x
2 + -16x = -30 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -16x = -30 + 0
2 + -16x = -30

Add '-2' to each side of the equation.
2 + -2 + -16x = -30 + -2

Combine like terms: 2 + -2 = 0
0 + -16x = -30 + -2
-16x = -30 + -2

Combine like terms: -30 + -2 = -32
-16x = -32

Divide each side by '-16'.
x = 2

Simplifying
x = 2

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