3(x+3)=5x-6

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


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

Reorder the terms:
3(3 + x) = 5x + -6
(3 * 3 + x * 3) = 5x + -6
(9 + 3x) = 5x + -6

Reorder the terms:
9 + 3x = -6 + 5x

Solving
9 + 3x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 3x + -5x = -6 + 5x + -5x

Combine like terms: 3x + -5x = -2x
9 + -2x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -2x = -6 + 0
9 + -2x = -6

Add '-9' to each side of the equation.
9 + -9 + -2x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -6 + -9
-2x = -6 + -9

Combine like terms: -6 + -9 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5

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