x+2(x+1)=24+(x+4)

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Solution for x+2(x+1)=24+(x+4) equation: 


Simplifying
x + 2(x + 1) = 24 + (x + 4)

Reorder the terms:
x + 2(1 + x) = 24 + (x + 4)
x + (1 * 2 + x * 2) = 24 + (x + 4)
x + (2 + 2x) = 24 + (x + 4)

Reorder the terms:
2 + x + 2x = 24 + (x + 4)

Combine like terms: x + 2x = 3x
2 + 3x = 24 + (x + 4)

Reorder the terms:
2 + 3x = 24 + (4 + x)

Remove parenthesis around (4 + x)
2 + 3x = 24 + 4 + x

Combine like terms: 24 + 4 = 28
2 + 3x = 28 + x

Solving
2 + 3x = 28 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 3x + -1x = 28 + x + -1x

Combine like terms: 3x + -1x = 2x
2 + 2x = 28 + x + -1x

Combine like terms: x + -1x = 0
2 + 2x = 28 + 0
2 + 2x = 28

Add '-2' to each side of the equation.
2 + -2 + 2x = 28 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 28 + -2
2x = 28 + -2

Combine like terms: 28 + -2 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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