2(2x+3)+1=3(x+4)

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Solution for 2(2x+3)+1=3(x+4) equation:


Simplifying
2(2x + 3) + 1 = 3(x + 4)

Reorder the terms:
2(3 + 2x) + 1 = 3(x + 4)
(3 * 2 + 2x * 2) + 1 = 3(x + 4)
(6 + 4x) + 1 = 3(x + 4)

Reorder the terms:
6 + 1 + 4x = 3(x + 4)

Combine like terms: 6 + 1 = 7
7 + 4x = 3(x + 4)

Reorder the terms:
7 + 4x = 3(4 + x)
7 + 4x = (4 * 3 + x * 3)
7 + 4x = (12 + 3x)

Solving
7 + 4x = 12 + 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.
7 + 4x + -3x = 12 + 3x + -3x

Combine like terms: 4x + -3x = 1x
7 + 1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + 1x = 12 + 0
7 + 1x = 12

Add '-7' to each side of the equation.
7 + -7 + 1x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 12 + -7
1x = 12 + -7

Combine like terms: 12 + -7 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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