7(x+4)-(-2x-6)=8x

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Solution for 7(x+4)-(-2x-6)=8x equation:


Simplifying
7(x + 4) + -1(-2x + -6) = 8x

Reorder the terms:
7(4 + x) + -1(-2x + -6) = 8x
(4 * 7 + x * 7) + -1(-2x + -6) = 8x
(28 + 7x) + -1(-2x + -6) = 8x

Reorder the terms:
28 + 7x + -1(-6 + -2x) = 8x
28 + 7x + (-6 * -1 + -2x * -1) = 8x
28 + 7x + (6 + 2x) = 8x

Reorder the terms:
28 + 6 + 7x + 2x = 8x

Combine like terms: 28 + 6 = 34
34 + 7x + 2x = 8x

Combine like terms: 7x + 2x = 9x
34 + 9x = 8x

Solving
34 + 9x = 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.
34 + 9x + -8x = 8x + -8x

Combine like terms: 9x + -8x = 1x
34 + 1x = 8x + -8x

Combine like terms: 8x + -8x = 0
34 + 1x = 0

Add '-34' to each side of the equation.
34 + -34 + 1x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 1x = 0 + -34
1x = 0 + -34

Combine like terms: 0 + -34 = -34
1x = -34

Divide each side by '1'.
x = -34

Simplifying
x = -34

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