3x-10+2y=x+4y

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Solution for 3x-10+2y=x+4y equation:


Simplifying
3x + -10 + 2y = x + 4y

Reorder the terms:
-10 + 3x + 2y = x + 4y

Solving
-10 + 3x + 2y = x + 4y

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.
-10 + 3x + -1x + 2y = x + -1x + 4y

Combine like terms: 3x + -1x = 2x
-10 + 2x + 2y = x + -1x + 4y

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

Add '10' to each side of the equation.
-10 + 2x + 10 + 2y = 10 + 4y

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

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

Add '-2y' to each side of the equation.
2x + 2y + -2y = 10 + 4y + -2y

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

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

Divide each side by '2'.
x = 5 + y

Simplifying
x = 5 + y

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