-31+5x=7(x-7)+6

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Solution for -31+5x=7(x-7)+6 equation:


Simplifying
-31 + 5x = 7(x + -7) + 6

Reorder the terms:
-31 + 5x = 7(-7 + x) + 6
-31 + 5x = (-7 * 7 + x * 7) + 6
-31 + 5x = (-49 + 7x) + 6

Reorder the terms:
-31 + 5x = -49 + 6 + 7x

Combine like terms: -49 + 6 = -43
-31 + 5x = -43 + 7x

Solving
-31 + 5x = -43 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-31 + 5x + -7x = -43 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-31 + -2x = -43 + 7x + -7x

Combine like terms: 7x + -7x = 0
-31 + -2x = -43 + 0
-31 + -2x = -43

Add '31' to each side of the equation.
-31 + 31 + -2x = -43 + 31

Combine like terms: -31 + 31 = 0
0 + -2x = -43 + 31
-2x = -43 + 31

Combine like terms: -43 + 31 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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