10x-5(1+y)=3(2y-2)-20

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Solution for 10x-5(1+y)=3(2y-2)-20 equation:


Simplifying
10x + -5(1 + y) = 3(2y + -2) + -20
10x + (1 * -5 + y * -5) = 3(2y + -2) + -20
10x + (-5 + -5y) = 3(2y + -2) + -20

Reorder the terms:
-5 + 10x + -5y = 3(2y + -2) + -20

Reorder the terms:
-5 + 10x + -5y = 3(-2 + 2y) + -20
-5 + 10x + -5y = (-2 * 3 + 2y * 3) + -20
-5 + 10x + -5y = (-6 + 6y) + -20

Reorder the terms:
-5 + 10x + -5y = -6 + -20 + 6y

Combine like terms: -6 + -20 = -26
-5 + 10x + -5y = -26 + 6y

Solving
-5 + 10x + -5y = -26 + 6y

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 10x + 5 + -5y = -26 + 5 + 6y

Reorder the terms:
-5 + 5 + 10x + -5y = -26 + 5 + 6y

Combine like terms: -5 + 5 = 0
0 + 10x + -5y = -26 + 5 + 6y
10x + -5y = -26 + 5 + 6y

Combine like terms: -26 + 5 = -21
10x + -5y = -21 + 6y

Add '5y' to each side of the equation.
10x + -5y + 5y = -21 + 6y + 5y

Combine like terms: -5y + 5y = 0
10x + 0 = -21 + 6y + 5y
10x = -21 + 6y + 5y

Combine like terms: 6y + 5y = 11y
10x = -21 + 11y

Divide each side by '10'.
x = -2.1 + 1.1y

Simplifying
x = -2.1 + 1.1y

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