21-43=3(x-1)-7

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Solution for 21-43=3(x-1)-7 equation: 


Simplifying
21 + -43 = 3(x + -1) + -7

Combine like terms: 21 + -43 = -22
-22 = 3(x + -1) + -7

Reorder the terms:
-22 = 3(-1 + x) + -7
-22 = (-1 * 3 + x * 3) + -7
-22 = (-3 + 3x) + -7

Reorder the terms:
-22 = -3 + -7 + 3x

Combine like terms: -3 + -7 = -10
-22 = -10 + 3x

Solving
-22 = -10 + 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.
-22 + -3x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-22 + -3x = -10 + 0
-22 + -3x = -10

Add '22' to each side of the equation.
-22 + 22 + -3x = -10 + 22

Combine like terms: -22 + 22 = 0
0 + -3x = -10 + 22
-3x = -10 + 22

Combine like terms: -10 + 22 = 12
-3x = 12

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

Simplifying
x = -4

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