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

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


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

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

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

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

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

Solving
-1 + 5x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 5x + -2x = 5 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-1 + 3x = 5 + 0
-1 + 3x = 5

Add '1' to each side of the equation.
-1 + 1 + 3x = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 5 + 1
3x = 5 + 1

Combine like terms: 5 + 1 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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