4a-36(a-2)=2(3a-2)

Solution for 4a-36(a-2)=2(3a-2) equation:

Simplifying
4a + -36(a + -2) = 2(3a + -2)

Reorder the terms:
4a + -36(-2 + a) = 2(3a + -2)
4a + (-2 * -36 + a * -36) = 2(3a + -2)
4a + (72 + -36a) = 2(3a + -2)

Reorder the terms:
72 + 4a + -36a = 2(3a + -2)

Combine like terms: 4a + -36a = -32a
72 + -32a = 2(3a + -2)

Reorder the terms:
72 + -32a = 2(-2 + 3a)
72 + -32a = (-2 * 2 + 3a * 2)
72 + -32a = (-4 + 6a)

Solving
72 + -32a = -4 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
72 + -32a + -6a = -4 + 6a + -6a

Combine like terms: -32a + -6a = -38a
72 + -38a = -4 + 6a + -6a

Combine like terms: 6a + -6a = 0
72 + -38a = -4 + 0
72 + -38a = -4

Add '-72' to each side of the equation.
72 + -72 + -38a = -4 + -72

Combine like terms: 72 + -72 = 0
0 + -38a = -4 + -72
-38a = -4 + -72

Combine like terms: -4 + -72 = -76
-38a = -76

Divide each side by '-38'.
a = 2

Simplifying
a = 2