6(x-7)=5(6+x)

Solution for 6(x-7)=5(6+x) equation:

Simplifying
6(x + -7) = 5(6 + x)

Reorder the terms:
6(-7 + x) = 5(6 + x)
(-7 * 6 + x * 6) = 5(6 + x)
(-42 + 6x) = 5(6 + x)
-42 + 6x = (6 * 5 + x * 5)
-42 + 6x = (30 + 5x)

Solving
-42 + 6x = 30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-42 + 6x + -5x = 30 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-42 + 1x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-42 + 1x = 30 + 0
-42 + 1x = 30

Add '42' to each side of the equation.
-42 + 42 + 1x = 30 + 42

Combine like terms: -42 + 42 = 0
0 + 1x = 30 + 42
1x = 30 + 42

Combine like terms: 30 + 42 = 72
1x = 72

Divide each side by '1'.
x = 72

Simplifying
x = 72