12-43=3(x-3)-7

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Solution for 12-43=3(x-3)-7 equation:


Simplifying
12 + -43 = 3(x + -3) + -7

Combine like terms: 12 + -43 = -31
-31 = 3(x + -3) + -7

Reorder the terms:
-31 = 3(-3 + x) + -7
-31 = (-3 * 3 + x * 3) + -7
-31 = (-9 + 3x) + -7

Reorder the terms:
-31 = -9 + -7 + 3x

Combine like terms: -9 + -7 = -16
-31 = -16 + 3x

Solving
-31 = -16 + 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 = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-31 + -3x = -16 + 0
-31 + -3x = -16

Add '31' to each side of the equation.
-31 + 31 + -3x = -16 + 31

Combine like terms: -31 + 31 = 0
0 + -3x = -16 + 31
-3x = -16 + 31

Combine like terms: -16 + 31 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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