13-47=3(x-5)-7

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Solution for 13-47=3(x-5)-7 equation: 


Simplifying
13 + -47 = 3(x + -5) + -7

Combine like terms: 13 + -47 = -34
-34 = 3(x + -5) + -7

Reorder the terms:
-34 = 3(-5 + x) + -7
-34 = (-5 * 3 + x * 3) + -7
-34 = (-15 + 3x) + -7

Reorder the terms:
-34 = -15 + -7 + 3x

Combine like terms: -15 + -7 = -22
-34 = -22 + 3x

Solving
-34 = -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.
-34 + -3x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-34 + -3x = -22 + 0
-34 + -3x = -22

Add '34' to each side of the equation.
-34 + 34 + -3x = -22 + 34

Combine like terms: -34 + 34 = 0
0 + -3x = -22 + 34
-3x = -22 + 34

Combine like terms: -22 + 34 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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