8(3a-4)-5(2a+3)=23

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Solution for 8(3a-4)-5(2a+3)=23 equation:


Simplifying
8(3a + -4) + -5(2a + 3) = 23

Reorder the terms:
8(-4 + 3a) + -5(2a + 3) = 23
(-4 * 8 + 3a * 8) + -5(2a + 3) = 23
(-32 + 24a) + -5(2a + 3) = 23

Reorder the terms:
-32 + 24a + -5(3 + 2a) = 23
-32 + 24a + (3 * -5 + 2a * -5) = 23
-32 + 24a + (-15 + -10a) = 23

Reorder the terms:
-32 + -15 + 24a + -10a = 23

Combine like terms: -32 + -15 = -47
-47 + 24a + -10a = 23

Combine like terms: 24a + -10a = 14a
-47 + 14a = 23

Solving
-47 + 14a = 23

Solving for variable 'a'.

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

Add '47' to each side of the equation.
-47 + 47 + 14a = 23 + 47

Combine like terms: -47 + 47 = 0
0 + 14a = 23 + 47
14a = 23 + 47

Combine like terms: 23 + 47 = 70
14a = 70

Divide each side by '14'.
a = 5

Simplifying
a = 5

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