2x-4y+10=x+y+20

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Solution for 2x-4y+10=x+y+20 equation: 


Simplifying
2x + -4y + 10 = x + y + 20

Reorder the terms:
10 + 2x + -4y = x + y + 20

Reorder the terms:
10 + 2x + -4y = 20 + x + y

Solving
10 + 2x + -4y = 20 + x + y

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 + 2x + -1x + -4y = 20 + x + -1x + y

Combine like terms: 2x + -1x = 1x
10 + 1x + -4y = 20 + x + -1x + y

Combine like terms: x + -1x = 0
10 + 1x + -4y = 20 + 0 + y
10 + 1x + -4y = 20 + y

Add '-10' to each side of the equation.
10 + 1x + -10 + -4y = 20 + -10 + y

Reorder the terms:
10 + -10 + 1x + -4y = 20 + -10 + y

Combine like terms: 10 + -10 = 0
0 + 1x + -4y = 20 + -10 + y
1x + -4y = 20 + -10 + y

Combine like terms: 20 + -10 = 10
1x + -4y = 10 + y

Add '4y' to each side of the equation.
1x + -4y + 4y = 10 + y + 4y

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

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

Divide each side by '1'.
x = 10 + 5y

Simplifying
x = 10 + 5y

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