8(x-4)-(x-1)=-31

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Solution for 8(x-4)-(x-1)=-31 equation:


Simplifying
8(x + -4) + -1(x + -1) = -31

Reorder the terms:
8(-4 + x) + -1(x + -1) = -31
(-4 * 8 + x * 8) + -1(x + -1) = -31
(-32 + 8x) + -1(x + -1) = -31

Reorder the terms:
-32 + 8x + -1(-1 + x) = -31
-32 + 8x + (-1 * -1 + x * -1) = -31
-32 + 8x + (1 + -1x) = -31

Reorder the terms:
-32 + 1 + 8x + -1x = -31

Combine like terms: -32 + 1 = -31
-31 + 8x + -1x = -31

Combine like terms: 8x + -1x = 7x
-31 + 7x = -31

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

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

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

Solving
7x = 0

Solving for variable 'x'.

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

Divide each side by '7'.
x = 0

Simplifying
x = 0

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