13-44=3(x-5)-7

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Solution for 13-44=3(x-5)-7 equation:


Simplifying
13 + -44 = 3(x + -5) + -7

Combine like terms: 13 + -44 = -31
-31 = 3(x + -5) + -7

Reorder the terms:
-31 = 3(-5 + x) + -7
-31 = (-5 * 3 + x * 3) + -7
-31 = (-15 + 3x) + -7

Reorder the terms:
-31 = -15 + -7 + 3x

Combine like terms: -15 + -7 = -22
-31 = -22 + 3x

Solving
-31 = -22 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-31 + -3x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-31 + -3x = -22 + 0
-31 + -3x = -22

Add '31' to each side of the equation.
-31 + 31 + -3x = -22 + 31

Combine like terms: -31 + 31 = 0
0 + -3x = -22 + 31
-3x = -22 + 31

Combine like terms: -22 + 31 = 9
-3x = 9

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

Simplifying
x = -3

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