7x+6=.50(2x-8)

Solution for 7x+6=.50(2x-8) equation:

Simplifying
7x + 6 = 0.50(2x + -8)

Reorder the terms:
6 + 7x = 0.50(2x + -8)

Reorder the terms:
6 + 7x = 0.50(-8 + 2x)
6 + 7x = (-8 * 0.50 + 2x * 0.50)
6 + 7x = (-4 + 1x)

Solving
6 + 7x = -4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 7x + -1x = -4 + 1x + -1x

Combine like terms: 7x + -1x = 6x
6 + 6x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 6x = -4 + 0
6 + 6x = -4

Add '-6' to each side of the equation.
6 + -6 + 6x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = -4 + -6
6x = -4 + -6

Combine like terms: -4 + -6 = -10
6x = -10

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667