3x+6(x-7)=3

Solution for 3x+6(x-7)=3 equation:

Simplifying
3x + 6(x + -7) = 3

Reorder the terms:
3x + 6(-7 + x) = 3
3x + (-7 * 6 + x * 6) = 3
3x + (-42 + 6x) = 3

Reorder the terms:
-42 + 3x + 6x = 3

Combine like terms: 3x + 6x = 9x
-42 + 9x = 3

Solving
-42 + 9x = 3

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 9x = 3 + 42

Combine like terms: -42 + 42 = 0
0 + 9x = 3 + 42
9x = 3 + 42

Combine like terms: 3 + 42 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5