(9x+2)=(5x-1)+23

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Solution for (9x+2)=(5x-1)+23 equation:


Simplifying
(9x + 2) = (5x + -1) + 23

Reorder the terms:
(2 + 9x) = (5x + -1) + 23

Remove parenthesis around (2 + 9x)
2 + 9x = (5x + -1) + 23

Reorder the terms:
2 + 9x = (-1 + 5x) + 23

Remove parenthesis around (-1 + 5x)
2 + 9x = -1 + 5x + 23

Reorder the terms:
2 + 9x = -1 + 23 + 5x

Combine like terms: -1 + 23 = 22
2 + 9x = 22 + 5x

Solving
2 + 9x = 22 + 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.
2 + 9x + -5x = 22 + 5x + -5x

Combine like terms: 9x + -5x = 4x
2 + 4x = 22 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 4x = 22 + 0
2 + 4x = 22

Add '-2' to each side of the equation.
2 + -2 + 4x = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 22 + -2
4x = 22 + -2

Combine like terms: 22 + -2 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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