-(x-4)=2x-7

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Solution for -(x-4)=2x-7 equation:


Simplifying
-1(x + -4) = 2x + -7

Reorder the terms:
-1(-4 + x) = 2x + -7
(-4 * -1 + x * -1) = 2x + -7
(4 + -1x) = 2x + -7

Reorder the terms:
4 + -1x = -7 + 2x

Solving
4 + -1x = -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.
4 + -1x + -2x = -7 + 2x + -2x

Combine like terms: -1x + -2x = -3x
4 + -3x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -3x = -7 + 0
4 + -3x = -7

Add '-4' to each side of the equation.
4 + -4 + -3x = -7 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -7 + -4
-3x = -7 + -4

Combine like terms: -7 + -4 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667

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