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

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


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

Reorder the terms:
2x + -4(-2 + x) = x + 3 + -1(x + -2)
2x + (-2 * -4 + x * -4) = x + 3 + -1(x + -2)
2x + (8 + -4x) = x + 3 + -1(x + -2)

Reorder the terms:
8 + 2x + -4x = x + 3 + -1(x + -2)

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

Reorder the terms:
8 + -2x = x + 3 + -1(-2 + x)
8 + -2x = x + 3 + (-2 * -1 + x * -1)
8 + -2x = x + 3 + (2 + -1x)

Reorder the terms:
8 + -2x = 3 + 2 + x + -1x

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

Combine like terms: x + -1x = 0
8 + -2x = 5 + 0
8 + -2x = 5

Solving
8 + -2x = 5

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -2x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 5 + -8
-2x = 5 + -8

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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