3(3x+5)=3(4x-2)

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Solution for 3(3x+5)=3(4x-2) equation:


Simplifying
3(3x + 5) = 3(4x + -2)

Reorder the terms:
3(5 + 3x) = 3(4x + -2)
(5 * 3 + 3x * 3) = 3(4x + -2)
(15 + 9x) = 3(4x + -2)

Reorder the terms:
15 + 9x = 3(-2 + 4x)
15 + 9x = (-2 * 3 + 4x * 3)
15 + 9x = (-6 + 12x)

Solving
15 + 9x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
15 + 9x + -12x = -6 + 12x + -12x

Combine like terms: 9x + -12x = -3x
15 + -3x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
15 + -3x = -6 + 0
15 + -3x = -6

Add '-15' to each side of the equation.
15 + -15 + -3x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = -6 + -15
-3x = -6 + -15

Combine like terms: -6 + -15 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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