3(2x+3)=2(2x+7)

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Solution for 3(2x+3)=2(2x+7) equation:


Simplifying
3(2x + 3) = 2(2x + 7)

Reorder the terms:
3(3 + 2x) = 2(2x + 7)
(3 * 3 + 2x * 3) = 2(2x + 7)
(9 + 6x) = 2(2x + 7)

Reorder the terms:
9 + 6x = 2(7 + 2x)
9 + 6x = (7 * 2 + 2x * 2)
9 + 6x = (14 + 4x)

Solving
9 + 6x = 14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 6x + -4x = 14 + 4x + -4x

Combine like terms: 6x + -4x = 2x
9 + 2x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 2x = 14 + 0
9 + 2x = 14

Add '-9' to each side of the equation.
9 + -9 + 2x = 14 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 14 + -9
2x = 14 + -9

Combine like terms: 14 + -9 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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