0.5(2a-3.2)+4=1.2(0.3a+4)

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Solution for 0.5(2a-3.2)+4=1.2(0.3a+4) equation:


Simplifying
0.5(2a + -3.2) + 4 = 1.2(0.3a + 4)

Reorder the terms:
0.5(-3.2 + 2a) + 4 = 1.2(0.3a + 4)
(-3.2 * 0.5 + 2a * 0.5) + 4 = 1.2(0.3a + 4)
(-1.6 + 1a) + 4 = 1.2(0.3a + 4)

Reorder the terms:
-1.6 + 4 + 1a = 1.2(0.3a + 4)

Combine like terms: -1.6 + 4 = 2.4
2.4 + 1a = 1.2(0.3a + 4)

Reorder the terms:
2.4 + 1a = 1.2(4 + 0.3a)
2.4 + 1a = (4 * 1.2 + 0.3a * 1.2)
2.4 + 1a = (4.8 + 0.36a)

Solving
2.4 + 1a = 4.8 + 0.36a

Solving for variable 'a'.

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

Add '-0.36a' to each side of the equation.
2.4 + 1a + -0.36a = 4.8 + 0.36a + -0.36a

Combine like terms: 1a + -0.36a = 0.64a
2.4 + 0.64a = 4.8 + 0.36a + -0.36a

Combine like terms: 0.36a + -0.36a = 0.00
2.4 + 0.64a = 4.8 + 0.00
2.4 + 0.64a = 4.8

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 0.64a = 4.8 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 0.64a = 4.8 + -2.4
0.64a = 4.8 + -2.4

Combine like terms: 4.8 + -2.4 = 2.4
0.64a = 2.4

Divide each side by '0.64'.
a = 3.75

Simplifying
a = 3.75

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