3(3x-4)=5x+12

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Solution for 3(3x-4)=5x+12 equation:


Simplifying
3(3x + -4) = 5x + 12

Reorder the terms:
3(-4 + 3x) = 5x + 12
(-4 * 3 + 3x * 3) = 5x + 12
(-12 + 9x) = 5x + 12

Reorder the terms:
-12 + 9x = 12 + 5x

Solving
-12 + 9x = 12 + 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.
-12 + 9x + -5x = 12 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-12 + 4x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 4x = 12 + 0
-12 + 4x = 12

Add '12' to each side of the equation.
-12 + 12 + 4x = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 12 + 12
4x = 12 + 12

Combine like terms: 12 + 12 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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