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

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


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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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