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

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


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

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

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

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

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

Solving
-2 + 5x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 5x + -1x = 4 + x + -1x

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

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

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

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

Combine like terms: 4 + 2 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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