5x+2y=4x+10

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Solution for 5x+2y=4x+10 equation:


Simplifying
5x + 2y = 4x + 10

Reorder the terms:
5x + 2y = 10 + 4x

Solving
5x + 2y = 10 + 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.
5x + -4x + 2y = 10 + 4x + -4x

Combine like terms: 5x + -4x = 1x
1x + 2y = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
1x + 2y = 10 + 0
1x + 2y = 10

Add '-2y' to each side of the equation.
1x + 2y + -2y = 10 + -2y

Combine like terms: 2y + -2y = 0
1x + 0 = 10 + -2y
1x = 10 + -2y

Divide each side by '1'.
x = 10 + -2y

Simplifying
x = 10 + -2y

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