-(x-7)=2(x-4)

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


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

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

Reorder the terms:
7 + -1x = 2(-4 + x)
7 + -1x = (-4 * 2 + x * 2)
7 + -1x = (-8 + 2x)

Solving
7 + -1x = -8 + 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.
7 + -1x + -2x = -8 + 2x + -2x

Combine like terms: -1x + -2x = -3x
7 + -3x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -3x = -8 + 0
7 + -3x = -8

Add '-7' to each side of the equation.
7 + -7 + -3x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -8 + -7
-3x = -8 + -7

Combine like terms: -8 + -7 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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