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

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


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

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

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

Solving
4 + -2x = 8 + -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 = 8 + -3x + 3x

Combine like terms: -2x + 3x = 1x
4 + 1x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 1x = 8 + 0
4 + 1x = 8

Add '-4' to each side of the equation.
4 + -4 + 1x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 8 + -4
1x = 8 + -4

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

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