-1+2x+7-1x-6x=-3x-10x+46

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Solution for -1+2x+7-1x-6x=-3x-10x+46 equation:


Simplifying
-1 + 2x + 7 + -1x + -6x = -3x + -10x + 46

Reorder the terms:
-1 + 7 + 2x + -1x + -6x = -3x + -10x + 46

Combine like terms: -1 + 7 = 6
6 + 2x + -1x + -6x = -3x + -10x + 46

Combine like terms: 2x + -1x = 1x
6 + 1x + -6x = -3x + -10x + 46

Combine like terms: 1x + -6x = -5x
6 + -5x = -3x + -10x + 46

Reorder the terms:
6 + -5x = 46 + -3x + -10x

Combine like terms: -3x + -10x = -13x
6 + -5x = 46 + -13x

Solving
6 + -5x = 46 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
6 + -5x + 13x = 46 + -13x + 13x

Combine like terms: -5x + 13x = 8x
6 + 8x = 46 + -13x + 13x

Combine like terms: -13x + 13x = 0
6 + 8x = 46 + 0
6 + 8x = 46

Add '-6' to each side of the equation.
6 + -6 + 8x = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 46 + -6
8x = 46 + -6

Combine like terms: 46 + -6 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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