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

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


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

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

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

Combine like terms: 5 + 3 = 8
8 + -6x + -3x = -1(5x + -4) + -3x + 1

Combine like terms: -6x + -3x = -9x
8 + -9x = -1(5x + -4) + -3x + 1

Reorder the terms:
8 + -9x = -1(-4 + 5x) + -3x + 1
8 + -9x = (-4 * -1 + 5x * -1) + -3x + 1
8 + -9x = (4 + -5x) + -3x + 1

Reorder the terms:
8 + -9x = 4 + 1 + -5x + -3x

Combine like terms: 4 + 1 = 5
8 + -9x = 5 + -5x + -3x

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

Solving
8 + -9x = 5 + -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.
8 + -9x + 8x = 5 + -8x + 8x

Combine like terms: -9x + 8x = -1x
8 + -1x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
8 + -1x = 5 + 0
8 + -1x = 5

Add '-8' to each side of the equation.
8 + -8 + -1x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 5 + -8
-1x = 5 + -8

Combine like terms: 5 + -8 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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