-5(x+4)-3(x-1)=-7x-31

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Solution for -5(x+4)-3(x-1)=-7x-31 equation:


Simplifying
-5(x + 4) + -3(x + -1) = -7x + -31

Reorder the terms:
-5(4 + x) + -3(x + -1) = -7x + -31
(4 * -5 + x * -5) + -3(x + -1) = -7x + -31
(-20 + -5x) + -3(x + -1) = -7x + -31

Reorder the terms:
-20 + -5x + -3(-1 + x) = -7x + -31
-20 + -5x + (-1 * -3 + x * -3) = -7x + -31
-20 + -5x + (3 + -3x) = -7x + -31

Reorder the terms:
-20 + 3 + -5x + -3x = -7x + -31

Combine like terms: -20 + 3 = -17
-17 + -5x + -3x = -7x + -31

Combine like terms: -5x + -3x = -8x
-17 + -8x = -7x + -31

Reorder the terms:
-17 + -8x = -31 + -7x

Solving
-17 + -8x = -31 + -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.
-17 + -8x + 7x = -31 + -7x + 7x

Combine like terms: -8x + 7x = -1x
-17 + -1x = -31 + -7x + 7x

Combine like terms: -7x + 7x = 0
-17 + -1x = -31 + 0
-17 + -1x = -31

Add '17' to each side of the equation.
-17 + 17 + -1x = -31 + 17

Combine like terms: -17 + 17 = 0
0 + -1x = -31 + 17
-1x = -31 + 17

Combine like terms: -31 + 17 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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