5(a-4)-3(a-5)=6(5-a)

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Solution for 5(a-4)-3(a-5)=6(5-a) equation:


Simplifying
5(a + -4) + -3(a + -5) = 6(5 + -1a)

Reorder the terms:
5(-4 + a) + -3(a + -5) = 6(5 + -1a)
(-4 * 5 + a * 5) + -3(a + -5) = 6(5 + -1a)
(-20 + 5a) + -3(a + -5) = 6(5 + -1a)

Reorder the terms:
-20 + 5a + -3(-5 + a) = 6(5 + -1a)
-20 + 5a + (-5 * -3 + a * -3) = 6(5 + -1a)
-20 + 5a + (15 + -3a) = 6(5 + -1a)

Reorder the terms:
-20 + 15 + 5a + -3a = 6(5 + -1a)

Combine like terms: -20 + 15 = -5
-5 + 5a + -3a = 6(5 + -1a)

Combine like terms: 5a + -3a = 2a
-5 + 2a = 6(5 + -1a)
-5 + 2a = (5 * 6 + -1a * 6)
-5 + 2a = (30 + -6a)

Solving
-5 + 2a = 30 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
-5 + 2a + 6a = 30 + -6a + 6a

Combine like terms: 2a + 6a = 8a
-5 + 8a = 30 + -6a + 6a

Combine like terms: -6a + 6a = 0
-5 + 8a = 30 + 0
-5 + 8a = 30

Add '5' to each side of the equation.
-5 + 5 + 8a = 30 + 5

Combine like terms: -5 + 5 = 0
0 + 8a = 30 + 5
8a = 30 + 5

Combine like terms: 30 + 5 = 35
8a = 35

Divide each side by '8'.
a = 4.375

Simplifying
a = 4.375

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