6-7x-2=-31+3x-15

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Solution for 6-7x-2=-31+3x-15 equation:


Simplifying
6 + -7x + -2 = -31 + 3x + -15

Reorder the terms:
6 + -2 + -7x = -31 + 3x + -15

Combine like terms: 6 + -2 = 4
4 + -7x = -31 + 3x + -15

Reorder the terms:
4 + -7x = -31 + -15 + 3x

Combine like terms: -31 + -15 = -46
4 + -7x = -46 + 3x

Solving
4 + -7x = -46 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + -7x + -3x = -46 + 3x + -3x

Combine like terms: -7x + -3x = -10x
4 + -10x = -46 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -10x = -46 + 0
4 + -10x = -46

Add '-4' to each side of the equation.
4 + -4 + -10x = -46 + -4

Combine like terms: 4 + -4 = 0
0 + -10x = -46 + -4
-10x = -46 + -4

Combine like terms: -46 + -4 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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