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

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


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

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

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

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

Reorder the terms:
4 + -2x = 5 + -3(3 + x)
4 + -2x = 5 + (3 * -3 + x * -3)
4 + -2x = 5 + (-9 + -3x)

Combine like terms: 5 + -9 = -4
4 + -2x = -4 + -3x

Solving
4 + -2x = -4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + -2x + 3x = -4 + -3x + 3x

Combine like terms: -2x + 3x = 1x
4 + 1x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 1x = -4 + 0
4 + 1x = -4

Add '-4' to each side of the equation.
4 + -4 + 1x = -4 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -4 + -4
1x = -4 + -4

Combine like terms: -4 + -4 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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