30-45=3(x-1)-3

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Solution for 30-45=3(x-1)-3 equation:


Simplifying
30 + -45 = 3(x + -1) + -3

Combine like terms: 30 + -45 = -15
-15 = 3(x + -1) + -3

Reorder the terms:
-15 = 3(-1 + x) + -3
-15 = (-1 * 3 + x * 3) + -3
-15 = (-3 + 3x) + -3

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

Combine like terms: -3 + -3 = -6
-15 = -6 + 3x

Solving
-15 = -6 + 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.
-15 + -3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + -3x = -6 + 0
-15 + -3x = -6

Add '15' to each side of the equation.
-15 + 15 + -3x = -6 + 15

Combine like terms: -15 + 15 = 0
0 + -3x = -6 + 15
-3x = -6 + 15

Combine like terms: -6 + 15 = 9
-3x = 9

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

Simplifying
x = -3

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