2(2a+0.5)=3(a-0.6)

Solution for 2(2a+0.5)=3(a-0.6) equation:

Simplifying
2(2a + 0.5) = 3(a + -0.6)

Reorder the terms:
2(0.5 + 2a) = 3(a + -0.6)
(0.5 * 2 + 2a * 2) = 3(a + -0.6)
(1 + 4a) = 3(a + -0.6)

Reorder the terms:
1 + 4a = 3(-0.6 + a)
1 + 4a = (-0.6 * 3 + a * 3)
1 + 4a = (-1.8 + 3a)

Solving
1 + 4a = -1.8 + 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 = -1.8 + 3a + -3a

Combine like terms: 4a + -3a = 1a
1 + 1a = -1.8 + 3a + -3a

Combine like terms: 3a + -3a = 0
1 + 1a = -1.8 + 0
1 + 1a = -1.8

Add '-1' to each side of the equation.
1 + -1 + 1a = -1.8 + -1

Combine like terms: 1 + -1 = 0
0 + 1a = -1.8 + -1
1a = -1.8 + -1

Combine like terms: -1.8 + -1 = -2.8
1a = -2.8

Divide each side by '1'.
a = -2.8

Simplifying
a = -2.8