9(2x+1)=6(x+2)

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Solution for 9(2x+1)=6(x+2) equation:


Simplifying
9(2x + 1) = 6(x + 2)

Reorder the terms:
9(1 + 2x) = 6(x + 2)
(1 * 9 + 2x * 9) = 6(x + 2)
(9 + 18x) = 6(x + 2)

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

Solving
9 + 18x = 12 + 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.
9 + 18x + -6x = 12 + 6x + -6x

Combine like terms: 18x + -6x = 12x
9 + 12x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + 12x = 12 + 0
9 + 12x = 12

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

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

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

Divide each side by '12'.
x = 0.25

Simplifying
x = 0.25

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