(5x-4)=8x+2

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Solution for (5x-4)=8x+2 equation:


Simplifying
(5x + -4) = 8x + 2

Reorder the terms:
(-4 + 5x) = 8x + 2

Remove parenthesis around (-4 + 5x)
-4 + 5x = 8x + 2

Reorder the terms:
-4 + 5x = 2 + 8x

Solving
-4 + 5x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-4 + 5x + -8x = 2 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-4 + -3x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -3x = 2 + 0
-4 + -3x = 2

Add '4' to each side of the equation.
-4 + 4 + -3x = 2 + 4

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

Combine like terms: 2 + 4 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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