3(5x-3)=4(3x+6)

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Solution for 3(5x-3)=4(3x+6) equation:


Simplifying
3(5x + -3) = 4(3x + 6)

Reorder the terms:
3(-3 + 5x) = 4(3x + 6)
(-3 * 3 + 5x * 3) = 4(3x + 6)
(-9 + 15x) = 4(3x + 6)

Reorder the terms:
-9 + 15x = 4(6 + 3x)
-9 + 15x = (6 * 4 + 3x * 4)
-9 + 15x = (24 + 12x)

Solving
-9 + 15x = 24 + 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.
-9 + 15x + -12x = 24 + 12x + -12x

Combine like terms: 15x + -12x = 3x
-9 + 3x = 24 + 12x + -12x

Combine like terms: 12x + -12x = 0
-9 + 3x = 24 + 0
-9 + 3x = 24

Add '9' to each side of the equation.
-9 + 9 + 3x = 24 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 24 + 9
3x = 24 + 9

Combine like terms: 24 + 9 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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