2(x+y)-10=8x+12

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Solution for 2(x+y)-10=8x+12 equation:


Simplifying
2(x + y) + -10 = 8x + 12
(x * 2 + y * 2) + -10 = 8x + 12
(2x + 2y) + -10 = 8x + 12

Reorder the terms:
-10 + 2x + 2y = 8x + 12

Reorder the terms:
-10 + 2x + 2y = 12 + 8x

Solving
-10 + 2x + 2y = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 2x + -8x + 2y = 12 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-10 + -6x + 2y = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -6x + 2y = 12 + 0
-10 + -6x + 2y = 12

Add '10' to each side of the equation.
-10 + -6x + 10 + 2y = 12 + 10

Reorder the terms:
-10 + 10 + -6x + 2y = 12 + 10

Combine like terms: -10 + 10 = 0
0 + -6x + 2y = 12 + 10
-6x + 2y = 12 + 10

Combine like terms: 12 + 10 = 22
-6x + 2y = 22

Add '-2y' to each side of the equation.
-6x + 2y + -2y = 22 + -2y

Combine like terms: 2y + -2y = 0
-6x + 0 = 22 + -2y
-6x = 22 + -2y

Divide each side by '-6'.
x = -3.666666667 + 0.3333333333y

Simplifying
x = -3.666666667 + 0.3333333333y

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