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

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


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

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

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

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

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

Reorder the terms:
5 + x = (-5 + 4x)

Remove parenthesis around (-5 + 4x)
5 + x = -5 + 4x

Solving
5 + x = -5 + 4x

Solving for variable 'x'.

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

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

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

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

Add '-5' to each side of the equation.
5 + -5 + -3x = -5 + -5

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

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

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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