-3x+6-5(x-1)=-5x-2(2x-4)+5

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Solution for -3x+6-5(x-1)=-5x-2(2x-4)+5 equation:


Simplifying
-3x + 6 + -5(x + -1) = -5x + -2(2x + -4) + 5

Reorder the terms:
-3x + 6 + -5(-1 + x) = -5x + -2(2x + -4) + 5
-3x + 6 + (-1 * -5 + x * -5) = -5x + -2(2x + -4) + 5
-3x + 6 + (5 + -5x) = -5x + -2(2x + -4) + 5

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

Combine like terms: 6 + 5 = 11
11 + -3x + -5x = -5x + -2(2x + -4) + 5

Combine like terms: -3x + -5x = -8x
11 + -8x = -5x + -2(2x + -4) + 5

Reorder the terms:
11 + -8x = -5x + -2(-4 + 2x) + 5
11 + -8x = -5x + (-4 * -2 + 2x * -2) + 5
11 + -8x = -5x + (8 + -4x) + 5

Reorder the terms:
11 + -8x = 8 + 5 + -5x + -4x

Combine like terms: 8 + 5 = 13
11 + -8x = 13 + -5x + -4x

Combine like terms: -5x + -4x = -9x
11 + -8x = 13 + -9x

Solving
11 + -8x = 13 + -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.
11 + -8x + 9x = 13 + -9x + 9x

Combine like terms: -8x + 9x = 1x
11 + 1x = 13 + -9x + 9x

Combine like terms: -9x + 9x = 0
11 + 1x = 13 + 0
11 + 1x = 13

Add '-11' to each side of the equation.
11 + -11 + 1x = 13 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 13 + -11
1x = 13 + -11

Combine like terms: 13 + -11 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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