12x+10=3(3x+6)

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Solution for 12x+10=3(3x+6) equation:


Simplifying
12x + 10 = 3(3x + 6)

Reorder the terms:
10 + 12x = 3(3x + 6)

Reorder the terms:
10 + 12x = 3(6 + 3x)
10 + 12x = (6 * 3 + 3x * 3)
10 + 12x = (18 + 9x)

Solving
10 + 12x = 18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10 + 12x + -9x = 18 + 9x + -9x

Combine like terms: 12x + -9x = 3x
10 + 3x = 18 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + 3x = 18 + 0
10 + 3x = 18

Add '-10' to each side of the equation.
10 + -10 + 3x = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 18 + -10
3x = 18 + -10

Combine like terms: 18 + -10 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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