2+3(x+y)=10

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Solution for 2+3(x+y)=10 equation: 


Simplifying
2 + 3(x + y) = 10
2 + (x * 3 + y * 3) = 10
2 + (3x + 3y) = 10

Solving
2 + 3x + 3y = 10

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + 3x + -2 + 3y = 10 + -2

Reorder the terms:
2 + -2 + 3x + 3y = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 3x + 3y = 10 + -2
3x + 3y = 10 + -2

Combine like terms: 10 + -2 = 8
3x + 3y = 8

Add '-3y' to each side of the equation.
3x + 3y + -3y = 8 + -3y

Combine like terms: 3y + -3y = 0
3x + 0 = 8 + -3y
3x = 8 + -3y

Divide each side by '3'.
x = 2.666666667 + -1y

Simplifying
x = 2.666666667 + -1y

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