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

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


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

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

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

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

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

Solving
-3 + 5x = 2 + 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.
-3 + 5x + -4x = 2 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-3 + 1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 1x = 2 + 0
-3 + 1x = 2

Add '3' to each side of the equation.
-3 + 3 + 1x = 2 + 3

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

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

Divide each side by '1'.
x = 5

Simplifying
x = 5

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