2.5(a+7)=1.5(a-.5)

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Solution for 2.5(a+7)=1.5(a-.5) equation: 


Simplifying
2.5(a + 7) = 1.5(a + -0.5)

Reorder the terms:
2.5(7 + a) = 1.5(a + -0.5)
(7 * 2.5 + a * 2.5) = 1.5(a + -0.5)
(17.5 + 2.5a) = 1.5(a + -0.5)

Reorder the terms:
17.5 + 2.5a = 1.5(-0.5 + a)
17.5 + 2.5a = (-0.5 * 1.5 + a * 1.5)
17.5 + 2.5a = (-0.75 + 1.5a)

Solving
17.5 + 2.5a = -0.75 + 1.5a

Solving for variable 'a'.

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

Add '-1.5a' to each side of the equation.
17.5 + 2.5a + -1.5a = -0.75 + 1.5a + -1.5a

Combine like terms: 2.5a + -1.5a = 1a
17.5 + 1a = -0.75 + 1.5a + -1.5a

Combine like terms: 1.5a + -1.5a = 0.0
17.5 + 1a = -0.75 + 0.0
17.5 + 1a = -0.75

Add '-17.5' to each side of the equation.
17.5 + -17.5 + 1a = -0.75 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + 1a = -0.75 + -17.5
1a = -0.75 + -17.5

Combine like terms: -0.75 + -17.5 = -18.25
1a = -18.25

Divide each side by '1'.
a = -18.25

Simplifying
a = -18.25

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