2(a+4)-7=.50(5+2a)

Solution for 2(a+4)-7=.50(5+2a) equation:

Simplifying
2(a + 4) + -7 = 0.50(5 + 2a)

Reorder the terms:
2(4 + a) + -7 = 0.50(5 + 2a)
(4 * 2 + a * 2) + -7 = 0.50(5 + 2a)
(8 + 2a) + -7 = 0.50(5 + 2a)

Reorder the terms:
8 + -7 + 2a = 0.50(5 + 2a)

Combine like terms: 8 + -7 = 1
1 + 2a = 0.50(5 + 2a)
1 + 2a = (5 * 0.50 + 2a * 0.50)
1 + 2a = (2.5 + 1a)

Solving
1 + 2a = 2.5 + 1a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
1 + 2a + -1a = 2.5 + 1a + -1a

Combine like terms: 2a + -1a = 1a
1 + 1a = 2.5 + 1a + -1a

Combine like terms: 1a + -1a = 0
1 + 1a = 2.5 + 0
1 + 1a = 2.5

Add '-1' to each side of the equation.
1 + -1 + 1a = 2.5 + -1

Combine like terms: 1 + -1 = 0
0 + 1a = 2.5 + -1
1a = 2.5 + -1

Combine like terms: 2.5 + -1 = 1.5
1a = 1.5

Divide each side by '1'.
a = 1.5

Simplifying
a = 1.5