2(9x+6)=3(2x+8)

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Solution for 2(9x+6)=3(2x+8) equation:


Simplifying
2(9x + 6) = 3(2x + 8)

Reorder the terms:
2(6 + 9x) = 3(2x + 8)
(6 * 2 + 9x * 2) = 3(2x + 8)
(12 + 18x) = 3(2x + 8)

Reorder the terms:
12 + 18x = 3(8 + 2x)
12 + 18x = (8 * 3 + 2x * 3)
12 + 18x = (24 + 6x)

Solving
12 + 18x = 24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 18x + -6x = 24 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
12 + 12x = 24 + 0
12 + 12x = 24

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

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

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

Divide each side by '12'.
x = 1

Simplifying
x = 1

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