22-47=3(x-1)-7

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Solution for 22-47=3(x-1)-7 equation:


Simplifying
22 + -47 = 3(x + -1) + -7

Combine like terms: 22 + -47 = -25
-25 = 3(x + -1) + -7

Reorder the terms:
-25 = 3(-1 + x) + -7
-25 = (-1 * 3 + x * 3) + -7
-25 = (-3 + 3x) + -7

Reorder the terms:
-25 = -3 + -7 + 3x

Combine like terms: -3 + -7 = -10
-25 = -10 + 3x

Solving
-25 = -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.
-25 + -3x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-25 + -3x = -10 + 0
-25 + -3x = -10

Add '25' to each side of the equation.
-25 + 25 + -3x = -10 + 25

Combine like terms: -25 + 25 = 0
0 + -3x = -10 + 25
-3x = -10 + 25

Combine like terms: -10 + 25 = 15
-3x = 15

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

Simplifying
x = -5

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