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

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


Simplifying
6 + -5(1 + -2x) + 3 = -3(1 + -2x) + -1
6 + (1 * -5 + -2x * -5) + 3 = -3(1 + -2x) + -1
6 + (-5 + 10x) + 3 = -3(1 + -2x) + -1

Reorder the terms:
6 + -5 + 3 + 10x = -3(1 + -2x) + -1

Combine like terms: 6 + -5 = 1
1 + 3 + 10x = -3(1 + -2x) + -1

Combine like terms: 1 + 3 = 4
4 + 10x = -3(1 + -2x) + -1
4 + 10x = (1 * -3 + -2x * -3) + -1
4 + 10x = (-3 + 6x) + -1

Reorder the terms:
4 + 10x = -3 + -1 + 6x

Combine like terms: -3 + -1 = -4
4 + 10x = -4 + 6x

Solving
4 + 10x = -4 + 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.
4 + 10x + -6x = -4 + 6x + -6x

Combine like terms: 10x + -6x = 4x
4 + 4x = -4 + 6x + -6x

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

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

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

Combine like terms: -4 + -4 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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