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

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


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

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

Remove parenthesis around (5 + 2x)
5 + 2x = 2(3x + 4) + x

Reorder the terms:
5 + 2x = 2(4 + 3x) + x
5 + 2x = (4 * 2 + 3x * 2) + x
5 + 2x = (8 + 6x) + x

Combine like terms: 6x + x = 7x
5 + 2x = 8 + 7x

Solving
5 + 2x = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + 2x + -7x = 8 + 7x + -7x

Combine like terms: 2x + -7x = -5x
5 + -5x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -5x = 8 + 0
5 + -5x = 8

Add '-5' to each side of the equation.
5 + -5 + -5x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = 8 + -5
-5x = 8 + -5

Combine like terms: 8 + -5 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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