3(x-2)=7z+1

Solution for 3(x-2)=7z+1 equation:

Simplifying
3(x + -2) = 7z + 1

Reorder the terms:
3(-2 + x) = 7z + 1
(-2 * 3 + x * 3) = 7z + 1
(-6 + 3x) = 7z + 1

Reorder the terms:
-6 + 3x = 1 + 7z

Solving
-6 + 3x = 1 + 7z

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 = 1 + 6 + 7z

Combine like terms: -6 + 6 = 0
0 + 3x = 1 + 6 + 7z
3x = 1 + 6 + 7z

Combine like terms: 1 + 6 = 7
3x = 7 + 7z

Divide each side by '3'.
x = 2.333333333 + 2.333333333z

Simplifying
x = 2.333333333 + 2.333333333z