3(2x+1)=2(2x+5)

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Solution for 3(2x+1)=2(2x+5) equation:


Simplifying
3(2x + 1) = 2(2x + 5)

Reorder the terms:
3(1 + 2x) = 2(2x + 5)
(1 * 3 + 2x * 3) = 2(2x + 5)
(3 + 6x) = 2(2x + 5)

Reorder the terms:
3 + 6x = 2(5 + 2x)
3 + 6x = (5 * 2 + 2x * 2)
3 + 6x = (10 + 4x)

Solving
3 + 6x = 10 + 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.
3 + 6x + -4x = 10 + 4x + -4x

Combine like terms: 6x + -4x = 2x
3 + 2x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + 2x = 10 + 0
3 + 2x = 10

Add '-3' to each side of the equation.
3 + -3 + 2x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 10 + -3
2x = 10 + -3

Combine like terms: 10 + -3 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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