13(x+8)-6(x+9)=6(x+4)

Solution for 13(x+8)-6(x+9)=6(x+4) equation:

Simplifying
13(x + 8) + -6(x + 9) = 6(x + 4)

Reorder the terms:
13(8 + x) + -6(x + 9) = 6(x + 4)
(8 * 13 + x * 13) + -6(x + 9) = 6(x + 4)
(104 + 13x) + -6(x + 9) = 6(x + 4)

Reorder the terms:
104 + 13x + -6(9 + x) = 6(x + 4)
104 + 13x + (9 * -6 + x * -6) = 6(x + 4)
104 + 13x + (-54 + -6x) = 6(x + 4)

Reorder the terms:
104 + -54 + 13x + -6x = 6(x + 4)

Combine like terms: 104 + -54 = 50
50 + 13x + -6x = 6(x + 4)

Combine like terms: 13x + -6x = 7x
50 + 7x = 6(x + 4)

Reorder the terms:
50 + 7x = 6(4 + x)
50 + 7x = (4 * 6 + x * 6)
50 + 7x = (24 + 6x)

Solving
50 + 7x = 24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
50 + 7x + -6x = 24 + 6x + -6x

Combine like terms: 7x + -6x = 1x
50 + 1x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
50 + 1x = 24 + 0
50 + 1x = 24

Add '-50' to each side of the equation.
50 + -50 + 1x = 24 + -50

Combine like terms: 50 + -50 = 0
0 + 1x = 24 + -50
1x = 24 + -50

Combine like terms: 24 + -50 = -26
1x = -26

Divide each side by '1'.
x = -26

Simplifying
x = -26