3+x+7+7x=-5x+2-x-6

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Solution for 3+x+7+7x=-5x+2-x-6 equation:


Simplifying
3 + x + 7 + 7x = -5x + 2 + -1x + -6

Reorder the terms:
3 + 7 + x + 7x = -5x + 2 + -1x + -6

Combine like terms: 3 + 7 = 10
10 + x + 7x = -5x + 2 + -1x + -6

Combine like terms: x + 7x = 8x
10 + 8x = -5x + 2 + -1x + -6

Reorder the terms:
10 + 8x = 2 + -6 + -5x + -1x

Combine like terms: 2 + -6 = -4
10 + 8x = -4 + -5x + -1x

Combine like terms: -5x + -1x = -6x
10 + 8x = -4 + -6x

Solving
10 + 8x = -4 + -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.
10 + 8x + 6x = -4 + -6x + 6x

Combine like terms: 8x + 6x = 14x
10 + 14x = -4 + -6x + 6x

Combine like terms: -6x + 6x = 0
10 + 14x = -4 + 0
10 + 14x = -4

Add '-10' to each side of the equation.
10 + -10 + 14x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = -4 + -10
14x = -4 + -10

Combine like terms: -4 + -10 = -14
14x = -14

Divide each side by '14'.
x = -1

Simplifying
x = -1

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