8*(5-2a)=7*(3-a)

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Solution for 8*(5-2a)=7*(3-a) equation:


Simplifying
8(5 + -2a) = 7(3 + -1a)
(5 * 8 + -2a * 8) = 7(3 + -1a)
(40 + -16a) = 7(3 + -1a)
40 + -16a = (3 * 7 + -1a * 7)
40 + -16a = (21 + -7a)

Solving
40 + -16a = 21 + -7a

Solving for variable 'a'.

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

Add '7a' to each side of the equation.
40 + -16a + 7a = 21 + -7a + 7a

Combine like terms: -16a + 7a = -9a
40 + -9a = 21 + -7a + 7a

Combine like terms: -7a + 7a = 0
40 + -9a = 21 + 0
40 + -9a = 21

Add '-40' to each side of the equation.
40 + -40 + -9a = 21 + -40

Combine like terms: 40 + -40 = 0
0 + -9a = 21 + -40
-9a = 21 + -40

Combine like terms: 21 + -40 = -19
-9a = -19

Divide each side by '-9'.
a = 2.111111111

Simplifying
a = 2.111111111

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