24-45=3(x-1)-6

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Solution for 24-45=3(x-1)-6 equation:


Simplifying
24 + -45 = 3(x + -1) + -6

Combine like terms: 24 + -45 = -21
-21 = 3(x + -1) + -6

Reorder the terms:
-21 = 3(-1 + x) + -6
-21 = (-1 * 3 + x * 3) + -6
-21 = (-3 + 3x) + -6

Reorder the terms:
-21 = -3 + -6 + 3x

Combine like terms: -3 + -6 = -9
-21 = -9 + 3x

Solving
-21 = -9 + 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.
-21 + -3x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-21 + -3x = -9 + 0
-21 + -3x = -9

Add '21' to each side of the equation.
-21 + 21 + -3x = -9 + 21

Combine like terms: -21 + 21 = 0
0 + -3x = -9 + 21
-3x = -9 + 21

Combine like terms: -9 + 21 = 12
-3x = 12

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

Simplifying
x = -4

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