-2(x-3)+7x=8x-8

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Solution for -2(x-3)+7x=8x-8 equation:


Simplifying
-2(x + -3) + 7x = 8x + -8

Reorder the terms:
-2(-3 + x) + 7x = 8x + -8
(-3 * -2 + x * -2) + 7x = 8x + -8
(6 + -2x) + 7x = 8x + -8

Combine like terms: -2x + 7x = 5x
6 + 5x = 8x + -8

Reorder the terms:
6 + 5x = -8 + 8x

Solving
6 + 5x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 5x + -8x = -8 + 8x + -8x

Combine like terms: 5x + -8x = -3x
6 + -3x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -3x = -8 + 0
6 + -3x = -8

Add '-6' to each side of the equation.
6 + -6 + -3x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -8 + -6
-3x = -8 + -6

Combine like terms: -8 + -6 = -14
-3x = -14

Divide each side by '-3'.
x = 4.666666667

Simplifying
x = 4.666666667

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