3x-5(x-1)=8-2(3x+2)-9

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Solution for 3x-5(x-1)=8-2(3x+2)-9 equation:


Simplifying
3x + -5(x + -1) = 8 + -2(3x + 2) + -9

Reorder the terms:
3x + -5(-1 + x) = 8 + -2(3x + 2) + -9
3x + (-1 * -5 + x * -5) = 8 + -2(3x + 2) + -9
3x + (5 + -5x) = 8 + -2(3x + 2) + -9

Reorder the terms:
5 + 3x + -5x = 8 + -2(3x + 2) + -9

Combine like terms: 3x + -5x = -2x
5 + -2x = 8 + -2(3x + 2) + -9

Reorder the terms:
5 + -2x = 8 + -2(2 + 3x) + -9
5 + -2x = 8 + (2 * -2 + 3x * -2) + -9
5 + -2x = 8 + (-4 + -6x) + -9

Reorder the terms:
5 + -2x = 8 + -4 + -9 + -6x

Combine like terms: 8 + -4 = 4
5 + -2x = 4 + -9 + -6x

Combine like terms: 4 + -9 = -5
5 + -2x = -5 + -6x

Solving
5 + -2x = -5 + -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.
5 + -2x + 6x = -5 + -6x + 6x

Combine like terms: -2x + 6x = 4x
5 + 4x = -5 + -6x + 6x

Combine like terms: -6x + 6x = 0
5 + 4x = -5 + 0
5 + 4x = -5

Add '-5' to each side of the equation.
5 + -5 + 4x = -5 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = -5 + -5
4x = -5 + -5

Combine like terms: -5 + -5 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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