3(x-2)=y-7

Solution for 3(x-2)=y-7 equation:

Simplifying
3(x + -2) = y + -7

Reorder the terms:
3(-2 + x) = y + -7
(-2 * 3 + x * 3) = y + -7
(-6 + 3x) = y + -7

Reorder the terms:
-6 + 3x = -7 + y

Solving
-6 + 3x = -7 + y

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 + 6 + 3x = -7 + 6 + y

Combine like terms: -6 + 6 = 0
0 + 3x = -7 + 6 + y
3x = -7 + 6 + y

Combine like terms: -7 + 6 = -1
3x = -1 + y

Divide each side by '3'.
x = -0.3333333333 + 0.3333333333y

Simplifying
x = -0.3333333333 + 0.3333333333y