4(6x-3)=9(2x+6)

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Solution for 4(6x-3)=9(2x+6) equation:


Simplifying
4(6x + -3) = 9(2x + 6)

Reorder the terms:
4(-3 + 6x) = 9(2x + 6)
(-3 * 4 + 6x * 4) = 9(2x + 6)
(-12 + 24x) = 9(2x + 6)

Reorder the terms:
-12 + 24x = 9(6 + 2x)
-12 + 24x = (6 * 9 + 2x * 9)
-12 + 24x = (54 + 18x)

Solving
-12 + 24x = 54 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-12 + 24x + -18x = 54 + 18x + -18x

Combine like terms: 24x + -18x = 6x
-12 + 6x = 54 + 18x + -18x

Combine like terms: 18x + -18x = 0
-12 + 6x = 54 + 0
-12 + 6x = 54

Add '12' to each side of the equation.
-12 + 12 + 6x = 54 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 54 + 12
6x = 54 + 12

Combine like terms: 54 + 12 = 66
6x = 66

Divide each side by '6'.
x = 11

Simplifying
x = 11

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