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

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


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

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

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

Combine like terms: x + 4x = 5x
6 + 5x = (x + 3) + (x + 4)

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

Remove parenthesis around (3 + x)
6 + 5x = 3 + x + (x + 4)

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

Remove parenthesis around (4 + x)
6 + 5x = 3 + x + 4 + x

Reorder the terms:
6 + 5x = 3 + 4 + x + x

Combine like terms: 3 + 4 = 7
6 + 5x = 7 + x + x

Combine like terms: x + x = 2x
6 + 5x = 7 + 2x

Solving
6 + 5x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 5x + -2x = 7 + 2x + -2x

Combine like terms: 5x + -2x = 3x
6 + 3x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 3x = 7 + 0
6 + 3x = 7

Add '-6' to each side of the equation.
6 + -6 + 3x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 7 + -6
3x = 7 + -6

Combine like terms: 7 + -6 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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