2(2a+.50)=3(a-0.67)

Solution for 2(2a+.50)=3(a-0.67) equation:

Simplifying
2(2a + 0.50) = 3(a + -0.67)

Reorder the terms:
2(0.50 + 2a) = 3(a + -0.67)
(0.50 * 2 + 2a * 2) = 3(a + -0.67)
(1 + 4a) = 3(a + -0.67)

Reorder the terms:
1 + 4a = 3(-0.67 + a)
1 + 4a = (-0.67 * 3 + a * 3)
1 + 4a = (-2.01 + 3a)

Solving
1 + 4a = -2.01 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
1 + 4a + -3a = -2.01 + 3a + -3a

Combine like terms: 4a + -3a = 1a
1 + 1a = -2.01 + 3a + -3a

Combine like terms: 3a + -3a = 0
1 + 1a = -2.01 + 0
1 + 1a = -2.01

Add '-1' to each side of the equation.
1 + -1 + 1a = -2.01 + -1

Combine like terms: 1 + -1 = 0
0 + 1a = -2.01 + -1
1a = -2.01 + -1

Combine like terms: -2.01 + -1 = -3.01
1a = -3.01

Divide each side by '1'.
a = -3.01

Simplifying
a = -3.01