2(2x+3)=(3x+8)

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Solution for 2(2x+3)=(3x+8) equation:


Simplifying
2(2x + 3) = (3x + 8)

Reorder the terms:
2(3 + 2x) = (3x + 8)
(3 * 2 + 2x * 2) = (3x + 8)
(6 + 4x) = (3x + 8)

Reorder the terms:
6 + 4x = (8 + 3x)

Remove parenthesis around (8 + 3x)
6 + 4x = 8 + 3x

Solving
6 + 4x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 4x + -3x = 8 + 3x + -3x

Combine like terms: 4x + -3x = 1x
6 + 1x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 1x = 8 + 0
6 + 1x = 8

Add '-6' to each side of the equation.
6 + -6 + 1x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 8 + -6
1x = 8 + -6

Combine like terms: 8 + -6 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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