-.5(3a-5)=.5(7-4a)

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Solution for -.5(3a-5)=.5(7-4a) equation: 


Simplifying
-0.5(3a + -5) = 0.5(7 + -4a)

Reorder the terms:
-0.5(-5 + 3a) = 0.5(7 + -4a)
(-5 * -0.5 + 3a * -0.5) = 0.5(7 + -4a)
(2.5 + -1.5a) = 0.5(7 + -4a)
2.5 + -1.5a = (7 * 0.5 + -4a * 0.5)
2.5 + -1.5a = (3.5 + -2a)

Solving
2.5 + -1.5a = 3.5 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
2.5 + -1.5a + 2a = 3.5 + -2a + 2a

Combine like terms: -1.5a + 2a = 0.5a
2.5 + 0.5a = 3.5 + -2a + 2a

Combine like terms: -2a + 2a = 0
2.5 + 0.5a = 3.5 + 0
2.5 + 0.5a = 3.5

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.5a = 3.5 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.5a = 3.5 + -2.5
0.5a = 3.5 + -2.5

Combine like terms: 3.5 + -2.5 = 1
0.5a = 1

Divide each side by '0.5'.
a = 2

Simplifying
a = 2

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