5x-3(x-6)=3+3x

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Solution for 5x-3(x-6)=3+3x equation:


Simplifying
5x + -3(x + -6) = 3 + 3x

Reorder the terms:
5x + -3(-6 + x) = 3 + 3x
5x + (-6 * -3 + x * -3) = 3 + 3x
5x + (18 + -3x) = 3 + 3x

Reorder the terms:
18 + 5x + -3x = 3 + 3x

Combine like terms: 5x + -3x = 2x
18 + 2x = 3 + 3x

Solving
18 + 2x = 3 + 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.
18 + 2x + -3x = 3 + 3x + -3x

Combine like terms: 2x + -3x = -1x
18 + -1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -1x = 3 + 0
18 + -1x = 3

Add '-18' to each side of the equation.
18 + -18 + -1x = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 3 + -18
-1x = 3 + -18

Combine like terms: 3 + -18 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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