7=2(x-4)-3x

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Solution for 7=2(x-4)-3x equation:


Simplifying
7 = 2(x + -4) + -3x

Reorder the terms:
7 = 2(-4 + x) + -3x
7 = (-4 * 2 + x * 2) + -3x
7 = (-8 + 2x) + -3x

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

Solving
7 = -8 + -1x

Solving for variable 'x'.

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

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

Combine like terms: -1x + x = 0
7 + x = -8 + 0
7 + x = -8

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

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

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

Simplifying
x = -15

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