3(2x+6)=5(x+4)

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Solution for 3(2x+6)=5(x+4) equation:


Simplifying
3(2x + 6) = 5(x + 4)

Reorder the terms:
3(6 + 2x) = 5(x + 4)
(6 * 3 + 2x * 3) = 5(x + 4)
(18 + 6x) = 5(x + 4)

Reorder the terms:
18 + 6x = 5(4 + x)
18 + 6x = (4 * 5 + x * 5)
18 + 6x = (20 + 5x)

Solving
18 + 6x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + 6x + -5x = 20 + 5x + -5x

Combine like terms: 6x + -5x = 1x
18 + 1x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 1x = 20 + 0
18 + 1x = 20

Add '-18' to each side of the equation.
18 + -18 + 1x = 20 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 20 + -18
1x = 20 + -18

Combine like terms: 20 + -18 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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