2x+3(y-2)=13

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Solution for 2x+3(y-2)=13 equation:


Simplifying
2x + 3(y + -2) = 13

Reorder the terms:
2x + 3(-2 + y) = 13
2x + (-2 * 3 + y * 3) = 13
2x + (-6 + 3y) = 13

Reorder the terms:
-6 + 2x + 3y = 13

Solving
-6 + 2x + 3y = 13

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 2x + 6 + 3y = 13 + 6

Reorder the terms:
-6 + 6 + 2x + 3y = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 2x + 3y = 13 + 6
2x + 3y = 13 + 6

Combine like terms: 13 + 6 = 19
2x + 3y = 19

Add '-3y' to each side of the equation.
2x + 3y + -3y = 19 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 19 + -3y
2x = 19 + -3y

Divide each side by '2'.
x = 9.5 + -1.5y

Simplifying
x = 9.5 + -1.5y

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