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

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


Simplifying
3(x + 4) + -2 = (2x + 5) + -1x

Reorder the terms:
3(4 + x) + -2 = (2x + 5) + -1x
(4 * 3 + x * 3) + -2 = (2x + 5) + -1x
(12 + 3x) + -2 = (2x + 5) + -1x

Reorder the terms:
12 + -2 + 3x = (2x + 5) + -1x

Combine like terms: 12 + -2 = 10
10 + 3x = (2x + 5) + -1x

Reorder the terms:
10 + 3x = (5 + 2x) + -1x

Remove parenthesis around (5 + 2x)
10 + 3x = 5 + 2x + -1x

Combine like terms: 2x + -1x = 1x
10 + 3x = 5 + 1x

Solving
10 + 3x = 5 + 1x

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.
10 + 3x + -1x = 5 + 1x + -1x

Combine like terms: 3x + -1x = 2x
10 + 2x = 5 + 1x + -1x

Combine like terms: 1x + -1x = 0
10 + 2x = 5 + 0
10 + 2x = 5

Add '-10' to each side of the equation.
10 + -10 + 2x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 5 + -10
2x = 5 + -10

Combine like terms: 5 + -10 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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