3(x-3)=x+5

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


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

Reorder the terms:
3(-3 + x) = x + 5
(-3 * 3 + x * 3) = x + 5
(-9 + 3x) = x + 5

Reorder the terms:
-9 + 3x = 5 + x

Solving
-9 + 3x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + 3x + -1x = 5 + x + -1x

Combine like terms: 3x + -1x = 2x
-9 + 2x = 5 + x + -1x

Combine like terms: x + -1x = 0
-9 + 2x = 5 + 0
-9 + 2x = 5

Add '9' to each side of the equation.
-9 + 9 + 2x = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 5 + 9
2x = 5 + 9

Combine like terms: 5 + 9 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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