0.6(2a-3)-0.2=0.2(3a-4)

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Solution for 0.6(2a-3)-0.2=0.2(3a-4) equation:


Simplifying
0.6(2a + -3) + -0.2 = 0.2(3a + -4)

Reorder the terms:
0.6(-3 + 2a) + -0.2 = 0.2(3a + -4)
(-3 * 0.6 + 2a * 0.6) + -0.2 = 0.2(3a + -4)
(-1.8 + 1.2a) + -0.2 = 0.2(3a + -4)

Reorder the terms:
-1.8 + -0.2 + 1.2a = 0.2(3a + -4)

Combine like terms: -1.8 + -0.2 = -2
-2 + 1.2a = 0.2(3a + -4)

Reorder the terms:
-2 + 1.2a = 0.2(-4 + 3a)
-2 + 1.2a = (-4 * 0.2 + 3a * 0.2)
-2 + 1.2a = (-0.8 + 0.6a)

Solving
-2 + 1.2a = -0.8 + 0.6a

Solving for variable 'a'.

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

Add '-0.6a' to each side of the equation.
-2 + 1.2a + -0.6a = -0.8 + 0.6a + -0.6a

Combine like terms: 1.2a + -0.6a = 0.6a
-2 + 0.6a = -0.8 + 0.6a + -0.6a

Combine like terms: 0.6a + -0.6a = 0.0
-2 + 0.6a = -0.8 + 0.0
-2 + 0.6a = -0.8

Add '2' to each side of the equation.
-2 + 2 + 0.6a = -0.8 + 2

Combine like terms: -2 + 2 = 0
0 + 0.6a = -0.8 + 2
0.6a = -0.8 + 2

Combine like terms: -0.8 + 2 = 1.2
0.6a = 1.2

Divide each side by '0.6'.
a = 2

Simplifying
a = 2

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