2(x-5)+20y=40

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Solution for 2(x-5)+20y=40 equation: 


Simplifying
2(x + -5) + 20y = 40

Reorder the terms:
2(-5 + x) + 20y = 40
(-5 * 2 + x * 2) + 20y = 40
(-10 + 2x) + 20y = 40

Solving
-10 + 2x + 20y = 40

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 2x + 10 + 20y = 40 + 10

Reorder the terms:
-10 + 10 + 2x + 20y = 40 + 10

Combine like terms: -10 + 10 = 0
0 + 2x + 20y = 40 + 10
2x + 20y = 40 + 10

Combine like terms: 40 + 10 = 50
2x + 20y = 50

Add '-20y' to each side of the equation.
2x + 20y + -20y = 50 + -20y

Combine like terms: 20y + -20y = 0
2x + 0 = 50 + -20y
2x = 50 + -20y

Divide each side by '2'.
x = 25 + -10y

Simplifying
x = 25 + -10y

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