5+2(x+4)=2x+4+3x

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Solution for 5+2(x+4)=2x+4+3x equation:


Simplifying
5 + 2(x + 4) = 2x + 4 + 3x

Reorder the terms:
5 + 2(4 + x) = 2x + 4 + 3x
5 + (4 * 2 + x * 2) = 2x + 4 + 3x
5 + (8 + 2x) = 2x + 4 + 3x

Combine like terms: 5 + 8 = 13
13 + 2x = 2x + 4 + 3x

Reorder the terms:
13 + 2x = 4 + 2x + 3x

Combine like terms: 2x + 3x = 5x
13 + 2x = 4 + 5x

Solving
13 + 2x = 4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
13 + 2x + -5x = 4 + 5x + -5x

Combine like terms: 2x + -5x = -3x
13 + -3x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -3x = 4 + 0
13 + -3x = 4

Add '-13' to each side of the equation.
13 + -13 + -3x = 4 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 4 + -13
-3x = 4 + -13

Combine like terms: 4 + -13 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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