2x-(x-3)=-4x+8

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Solution for 2x-(x-3)=-4x+8 equation:


Simplifying
2x + -1(x + -3) = -4x + 8

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

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

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

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

Solving
3 + 1x = 8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
3 + 1x + 4x = 8 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
3 + 5x = 8 + 0
3 + 5x = 8

Add '-3' to each side of the equation.
3 + -3 + 5x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 8 + -3
5x = 8 + -3

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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