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

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


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

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

Reorder the terms:
18 + 6x = 2(5 + 4x)
18 + 6x = (5 * 2 + 4x * 2)
18 + 6x = (10 + 8x)

Solving
18 + 6x = 10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
18 + 6x + -8x = 10 + 8x + -8x

Combine like terms: 6x + -8x = -2x
18 + -2x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -2x = 10 + 0
18 + -2x = 10

Add '-18' to each side of the equation.
18 + -18 + -2x = 10 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = 10 + -18
-2x = 10 + -18

Combine like terms: 10 + -18 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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