-31=-7(-3x-5)+3(x+2)

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Solution for -31=-7(-3x-5)+3(x+2) equation:


Simplifying
-31 = -7(-3x + -5) + 3(x + 2)

Reorder the terms:
-31 = -7(-5 + -3x) + 3(x + 2)
-31 = (-5 * -7 + -3x * -7) + 3(x + 2)
-31 = (35 + 21x) + 3(x + 2)

Reorder the terms:
-31 = 35 + 21x + 3(2 + x)
-31 = 35 + 21x + (2 * 3 + x * 3)
-31 = 35 + 21x + (6 + 3x)

Reorder the terms:
-31 = 35 + 6 + 21x + 3x

Combine like terms: 35 + 6 = 41
-31 = 41 + 21x + 3x

Combine like terms: 21x + 3x = 24x
-31 = 41 + 24x

Solving
-31 = 41 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-31 + -24x = 41 + 24x + -24x

Combine like terms: 24x + -24x = 0
-31 + -24x = 41 + 0
-31 + -24x = 41

Add '31' to each side of the equation.
-31 + 31 + -24x = 41 + 31

Combine like terms: -31 + 31 = 0
0 + -24x = 41 + 31
-24x = 41 + 31

Combine like terms: 41 + 31 = 72
-24x = 72

Divide each side by '-24'.
x = -3

Simplifying
x = -3

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