3(x+3)=45-x

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Solution for 3(x+3)=45-x equation:


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

Reorder the terms:
3(3 + x) = 45 + -1x
(3 * 3 + x * 3) = 45 + -1x
(9 + 3x) = 45 + -1x

Solving
9 + 3x = 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.
9 + 3x + x = 45 + -1x + x

Combine like terms: 3x + x = 4x
9 + 4x = 45 + -1x + x

Combine like terms: -1x + x = 0
9 + 4x = 45 + 0
9 + 4x = 45

Add '-9' to each side of the equation.
9 + -9 + 4x = 45 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 45 + -9
4x = 45 + -9

Combine like terms: 45 + -9 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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