2(3x+6)=3(x+10)

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Solution for 2(3x+6)=3(x+10) equation:


Simplifying
2(3x + 6) = 3(x + 10)

Reorder the terms:
2(6 + 3x) = 3(x + 10)
(6 * 2 + 3x * 2) = 3(x + 10)
(12 + 6x) = 3(x + 10)

Reorder the terms:
12 + 6x = 3(10 + x)
12 + 6x = (10 * 3 + x * 3)
12 + 6x = (30 + 3x)

Solving
12 + 6x = 30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 6x + -3x = 30 + 3x + -3x

Combine like terms: 6x + -3x = 3x
12 + 3x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 3x = 30 + 0
12 + 3x = 30

Add '-12' to each side of the equation.
12 + -12 + 3x = 30 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 30 + -12
3x = 30 + -12

Combine like terms: 30 + -12 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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