-7(x-2)-(x-5)=31

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Solution for -7(x-2)-(x-5)=31 equation:


Simplifying
-7(x + -2) + -1(x + -5) = 31

Reorder the terms:
-7(-2 + x) + -1(x + -5) = 31
(-2 * -7 + x * -7) + -1(x + -5) = 31
(14 + -7x) + -1(x + -5) = 31

Reorder the terms:
14 + -7x + -1(-5 + x) = 31
14 + -7x + (-5 * -1 + x * -1) = 31
14 + -7x + (5 + -1x) = 31

Reorder the terms:
14 + 5 + -7x + -1x = 31

Combine like terms: 14 + 5 = 19
19 + -7x + -1x = 31

Combine like terms: -7x + -1x = -8x
19 + -8x = 31

Solving
19 + -8x = 31

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -8x = 31 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = 31 + -19
-8x = 31 + -19

Combine like terms: 31 + -19 = 12
-8x = 12

Divide each side by '-8'.
x = -1.5

Simplifying
x = -1.5

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