3(2x+3)=3(5x-3)

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Solution for 3(2x+3)=3(5x-3) equation:


Simplifying
3(2x + 3) = 3(5x + -3)

Reorder the terms:
3(3 + 2x) = 3(5x + -3)
(3 * 3 + 2x * 3) = 3(5x + -3)
(9 + 6x) = 3(5x + -3)

Reorder the terms:
9 + 6x = 3(-3 + 5x)
9 + 6x = (-3 * 3 + 5x * 3)
9 + 6x = (-9 + 15x)

Solving
9 + 6x = -9 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
9 + 6x + -15x = -9 + 15x + -15x

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

Combine like terms: 15x + -15x = 0
9 + -9x = -9 + 0
9 + -9x = -9

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

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

Combine like terms: -9 + -9 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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