(3x+8)=(5x+4y)

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Solution for (3x+8)=(5x+4y) equation:


Simplifying
(3x + 8) = (5x + 4y)

Reorder the terms:
(8 + 3x) = (5x + 4y)

Remove parenthesis around (8 + 3x)
8 + 3x = (5x + 4y)

Remove parenthesis around (5x + 4y)
8 + 3x = 5x + 4y

Solving
8 + 3x = 5x + 4y

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.
8 + 3x + -5x = 5x + -5x + 4y

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

Combine like terms: 5x + -5x = 0
8 + -2x = 0 + 4y
8 + -2x = 4y

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

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

Divide each side by '-2'.
x = 4 + -2y

Simplifying
x = 4 + -2y

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