3x-5(y-6)=2(10-x)+20

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Solution for 3x-5(y-6)=2(10-x)+20 equation:


Simplifying
3x + -5(y + -6) = 2(10 + -1x) + 20

Reorder the terms:
3x + -5(-6 + y) = 2(10 + -1x) + 20
3x + (-6 * -5 + y * -5) = 2(10 + -1x) + 20
3x + (30 + -5y) = 2(10 + -1x) + 20

Reorder the terms:
30 + 3x + -5y = 2(10 + -1x) + 20
30 + 3x + -5y = (10 * 2 + -1x * 2) + 20
30 + 3x + -5y = (20 + -2x) + 20

Reorder the terms:
30 + 3x + -5y = 20 + 20 + -2x

Combine like terms: 20 + 20 = 40
30 + 3x + -5y = 40 + -2x

Solving
30 + 3x + -5y = 40 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
30 + 3x + 2x + -5y = 40 + -2x + 2x

Combine like terms: 3x + 2x = 5x
30 + 5x + -5y = 40 + -2x + 2x

Combine like terms: -2x + 2x = 0
30 + 5x + -5y = 40 + 0
30 + 5x + -5y = 40

Add '-30' to each side of the equation.
30 + 5x + -30 + -5y = 40 + -30

Reorder the terms:
30 + -30 + 5x + -5y = 40 + -30

Combine like terms: 30 + -30 = 0
0 + 5x + -5y = 40 + -30
5x + -5y = 40 + -30

Combine like terms: 40 + -30 = 10
5x + -5y = 10

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

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

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

Simplifying
x = 2 + y

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