5(a+3.5)=10a-5.5

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Solution for 5(a+3.5)=10a-5.5 equation: 


Simplifying
5(a + 3.5) = 10a + -5.5

Reorder the terms:
5(3.5 + a) = 10a + -5.5
(3.5 * 5 + a * 5) = 10a + -5.5
(17.5 + 5a) = 10a + -5.5

Reorder the terms:
17.5 + 5a = -5.5 + 10a

Solving
17.5 + 5a = -5.5 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
17.5 + 5a + -10a = -5.5 + 10a + -10a

Combine like terms: 5a + -10a = -5a
17.5 + -5a = -5.5 + 10a + -10a

Combine like terms: 10a + -10a = 0
17.5 + -5a = -5.5 + 0
17.5 + -5a = -5.5

Add '-17.5' to each side of the equation.
17.5 + -17.5 + -5a = -5.5 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + -5a = -5.5 + -17.5
-5a = -5.5 + -17.5

Combine like terms: -5.5 + -17.5 = -23
-5a = -23

Divide each side by '-5'.
a = 4.6

Simplifying
a = 4.6

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