x+6(x-1)=7(3+3)

Solution for x+6(x-1)=7(3+3) equation:

Simplifying
x + 6(x + -1) = 7(3 + 3)

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

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

Combine like terms: x + 6x = 7x
-6 + 7x = 7(3 + 3)

Combine like terms: 3 + 3 = 6
-6 + 7x = 7(6)

Multiply 7 * 6
-6 + 7x = 42

Solving
-6 + 7x = 42

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 + 7x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 42 + 6
7x = 42 + 6

Combine like terms: 42 + 6 = 48
7x = 48

Divide each side by '7'.
x = 6.857142857

Simplifying
x = 6.857142857