4(6+x)-2=x(6+7)

Solution for 4(6+x)-2=x(6+7) equation:

Simplifying
4(6 + x) + -2 = x(6 + 7)
(6 * 4 + x * 4) + -2 = x(6 + 7)
(24 + 4x) + -2 = x(6 + 7)

Reorder the terms:
24 + -2 + 4x = x(6 + 7)

Combine like terms: 24 + -2 = 22
22 + 4x = x(6 + 7)

Combine like terms: 6 + 7 = 13
22 + 4x = x(13)

Reorder the terms for easier multiplication:
22 + 4x = 13x

Solving
22 + 4x = 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
22 + 4x + -13x = 13x + -13x

Combine like terms: 4x + -13x = -9x
22 + -9x = 13x + -13x

Combine like terms: 13x + -13x = 0
22 + -9x = 0

Add '-22' to each side of the equation.
22 + -22 + -9x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -9x = 0 + -22
-9x = 0 + -22

Combine like terms: 0 + -22 = -22
-9x = -22

Divide each side by '-9'.
x = 2.444444444

Simplifying
x = 2.444444444