5x-3(x-6)=45-x

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Solution for 5x-3(x-6)=45-x equation:


Simplifying
5x + -3(x + -6) = 45 + -1x

Reorder the terms:
5x + -3(-6 + x) = 45 + -1x
5x + (-6 * -3 + x * -3) = 45 + -1x
5x + (18 + -3x) = 45 + -1x

Reorder the terms:
18 + 5x + -3x = 45 + -1x

Combine like terms: 5x + -3x = 2x
18 + 2x = 45 + -1x

Solving
18 + 2x = 45 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
18 + 2x + x = 45 + -1x + x

Combine like terms: 2x + x = 3x
18 + 3x = 45 + -1x + x

Combine like terms: -1x + x = 0
18 + 3x = 45 + 0
18 + 3x = 45

Add '-18' to each side of the equation.
18 + -18 + 3x = 45 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = 45 + -18
3x = 45 + -18

Combine like terms: 45 + -18 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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