27-x-3+x=3(x-3)+3

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Solution for 27-x-3+x=3(x-3)+3 equation:


Simplifying
27 + -1x + -3 + x = 3(x + -3) + 3

Reorder the terms:
27 + -3 + -1x + x = 3(x + -3) + 3

Combine like terms: 27 + -3 = 24
24 + -1x + x = 3(x + -3) + 3

Combine like terms: -1x + x = 0
24 + 0 = 3(x + -3) + 3
24 = 3(x + -3) + 3

Reorder the terms:
24 = 3(-3 + x) + 3
24 = (-3 * 3 + x * 3) + 3
24 = (-9 + 3x) + 3

Reorder the terms:
24 = -9 + 3 + 3x

Combine like terms: -9 + 3 = -6
24 = -6 + 3x

Solving
24 = -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.
24 + -3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -3x = -6 + 0
24 + -3x = -6

Add '-24' to each side of the equation.
24 + -24 + -3x = -6 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = -6 + -24
-3x = -6 + -24

Combine like terms: -6 + -24 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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