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

Solution for 8(x-6)=7(6+x) equation:

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

Reorder the terms:
8(-6 + x) = 7(6 + x)
(-6 * 8 + x * 8) = 7(6 + x)
(-48 + 8x) = 7(6 + x)
-48 + 8x = (6 * 7 + x * 7)
-48 + 8x = (42 + 7x)

Solving
-48 + 8x = 42 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-48 + 8x + -7x = 42 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-48 + 1x = 42 + 7x + -7x

Combine like terms: 7x + -7x = 0
-48 + 1x = 42 + 0
-48 + 1x = 42

Add '48' to each side of the equation.
-48 + 48 + 1x = 42 + 48

Combine like terms: -48 + 48 = 0
0 + 1x = 42 + 48
1x = 42 + 48

Combine like terms: 42 + 48 = 90
1x = 90

Divide each side by '1'.
x = 90

Simplifying
x = 90