-2(x-4)+7=7x-9-x

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Solution for -2(x-4)+7=7x-9-x equation:


Simplifying
-2(x + -4) + 7 = 7x + -9 + -1x

Reorder the terms:
-2(-4 + x) + 7 = 7x + -9 + -1x
(-4 * -2 + x * -2) + 7 = 7x + -9 + -1x
(8 + -2x) + 7 = 7x + -9 + -1x

Reorder the terms:
8 + 7 + -2x = 7x + -9 + -1x

Combine like terms: 8 + 7 = 15
15 + -2x = 7x + -9 + -1x

Reorder the terms:
15 + -2x = -9 + 7x + -1x

Combine like terms: 7x + -1x = 6x
15 + -2x = -9 + 6x

Solving
15 + -2x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + -2x + -6x = -9 + 6x + -6x

Combine like terms: -2x + -6x = -8x
15 + -8x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -8x = -9 + 0
15 + -8x = -9

Add '-15' to each side of the equation.
15 + -15 + -8x = -9 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = -9 + -15
-8x = -9 + -15

Combine like terms: -9 + -15 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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