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

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


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

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

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

Combine like terms: -2 + -3 = -5
-5 + 2x = -5 + -3(4 + -2x)
-5 + 2x = -5 + (4 * -3 + -2x * -3)
-5 + 2x = -5 + (-12 + 6x)

Combine like terms: -5 + -12 = -17
-5 + 2x = -17 + 6x

Solving
-5 + 2x = -17 + 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 = -17 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-5 + -4x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -4x = -17 + 0
-5 + -4x = -17

Add '5' to each side of the equation.
-5 + 5 + -4x = -17 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = -17 + 5
-4x = -17 + 5

Combine like terms: -17 + 5 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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