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

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


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

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

Combine like terms: 2 + 4 = 6
6 + -1x = -2x + 3

Reorder the terms:
6 + -1x = 3 + -2x

Solving
6 + -1x = 3 + -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.
6 + -1x + 2x = 3 + -2x + 2x

Combine like terms: -1x + 2x = 1x
6 + 1x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 1x = 3 + 0
6 + 1x = 3

Add '-6' to each side of the equation.
6 + -6 + 1x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 3 + -6
1x = 3 + -6

Combine like terms: 3 + -6 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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