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

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


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

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

Combine like terms: 3 + 5 = 8
8 + -4x = 5 + -2(x + -1)

Reorder the terms:
8 + -4x = 5 + -2(-1 + x)
8 + -4x = 5 + (-1 * -2 + x * -2)
8 + -4x = 5 + (2 + -2x)

Combine like terms: 5 + 2 = 7
8 + -4x = 7 + -2x

Solving
8 + -4x = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + -4x + 2x = 7 + -2x + 2x

Combine like terms: -4x + 2x = -2x
8 + -2x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + -2x = 7 + 0
8 + -2x = 7

Add '-8' to each side of the equation.
8 + -8 + -2x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 7 + -8
-2x = 7 + -8

Combine like terms: 7 + -8 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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