5a-8(a-2)=-2(-4a+3)

Solution for 5a-8(a-2)=-2(-4a+3) equation:

Simplifying
5a + -8(a + -2) = -2(-4a + 3)

Reorder the terms:
5a + -8(-2 + a) = -2(-4a + 3)
5a + (-2 * -8 + a * -8) = -2(-4a + 3)
5a + (16 + -8a) = -2(-4a + 3)

Reorder the terms:
16 + 5a + -8a = -2(-4a + 3)

Combine like terms: 5a + -8a = -3a
16 + -3a = -2(-4a + 3)

Reorder the terms:
16 + -3a = -2(3 + -4a)
16 + -3a = (3 * -2 + -4a * -2)
16 + -3a = (-6 + 8a)

Solving
16 + -3a = -6 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
16 + -3a + -8a = -6 + 8a + -8a

Combine like terms: -3a + -8a = -11a
16 + -11a = -6 + 8a + -8a

Combine like terms: 8a + -8a = 0
16 + -11a = -6 + 0
16 + -11a = -6

Add '-16' to each side of the equation.
16 + -16 + -11a = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -11a = -6 + -16
-11a = -6 + -16

Combine like terms: -6 + -16 = -22
-11a = -22

Divide each side by '-11'.
a = 2

Simplifying
a = 2