3(2x+6)=2x+30

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Solution for 3(2x+6)=2x+30 equation:


Simplifying
3(2x + 6) = 2x + 30

Reorder the terms:
3(6 + 2x) = 2x + 30
(6 * 3 + 2x * 3) = 2x + 30
(18 + 6x) = 2x + 30

Reorder the terms:
18 + 6x = 30 + 2x

Solving
18 + 6x = 30 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18 + 6x + -2x = 30 + 2x + -2x

Combine like terms: 6x + -2x = 4x
18 + 4x = 30 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 4x = 30 + 0
18 + 4x = 30

Add '-18' to each side of the equation.
18 + -18 + 4x = 30 + -18

Combine like terms: 18 + -18 = 0
0 + 4x = 30 + -18
4x = 30 + -18

Combine like terms: 30 + -18 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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