3(x-1)-(2x-5)=4x+8-2(x-5)

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Solution for 3(x-1)-(2x-5)=4x+8-2(x-5) equation:


Simplifying
3(x + -1) + -1(2x + -5) = 4x + 8 + -2(x + -5)

Reorder the terms:
3(-1 + x) + -1(2x + -5) = 4x + 8 + -2(x + -5)
(-1 * 3 + x * 3) + -1(2x + -5) = 4x + 8 + -2(x + -5)
(-3 + 3x) + -1(2x + -5) = 4x + 8 + -2(x + -5)

Reorder the terms:
-3 + 3x + -1(-5 + 2x) = 4x + 8 + -2(x + -5)
-3 + 3x + (-5 * -1 + 2x * -1) = 4x + 8 + -2(x + -5)
-3 + 3x + (5 + -2x) = 4x + 8 + -2(x + -5)

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

Combine like terms: -3 + 5 = 2
2 + 3x + -2x = 4x + 8 + -2(x + -5)

Combine like terms: 3x + -2x = 1x
2 + 1x = 4x + 8 + -2(x + -5)

Reorder the terms:
2 + 1x = 4x + 8 + -2(-5 + x)
2 + 1x = 4x + 8 + (-5 * -2 + x * -2)
2 + 1x = 4x + 8 + (10 + -2x)

Reorder the terms:
2 + 1x = 8 + 10 + 4x + -2x

Combine like terms: 8 + 10 = 18
2 + 1x = 18 + 4x + -2x

Combine like terms: 4x + -2x = 2x
2 + 1x = 18 + 2x

Solving
2 + 1x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 1x + -2x = 18 + 2x + -2x

Combine like terms: 1x + -2x = -1x
2 + -1x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -1x = 18 + 0
2 + -1x = 18

Add '-2' to each side of the equation.
2 + -2 + -1x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 18 + -2
-1x = 18 + -2

Combine like terms: 18 + -2 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

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