(5x-18)=(3x+2)

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Solution for (5x-18)=(3x+2) equation:


Simplifying
(5x + -18) = (3x + 2)

Reorder the terms:
(-18 + 5x) = (3x + 2)

Remove parenthesis around (-18 + 5x)
-18 + 5x = (3x + 2)

Reorder the terms:
-18 + 5x = (2 + 3x)

Remove parenthesis around (2 + 3x)
-18 + 5x = 2 + 3x

Solving
-18 + 5x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-18 + 5x + -3x = 2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-18 + 2x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + 2x = 2 + 0
-18 + 2x = 2

Add '18' to each side of the equation.
-18 + 18 + 2x = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 2 + 18
2x = 2 + 18

Combine like terms: 2 + 18 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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