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

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


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

Reorder the terms:
5a + -2(-3 + a) = 8(a + -4)
5a + (-3 * -2 + a * -2) = 8(a + -4)
5a + (6 + -2a) = 8(a + -4)

Reorder the terms:
6 + 5a + -2a = 8(a + -4)

Combine like terms: 5a + -2a = 3a
6 + 3a = 8(a + -4)

Reorder the terms:
6 + 3a = 8(-4 + a)
6 + 3a = (-4 * 8 + a * 8)
6 + 3a = (-32 + 8a)

Solving
6 + 3a = -32 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
6 + 3a + -8a = -32 + 8a + -8a

Combine like terms: 3a + -8a = -5a
6 + -5a = -32 + 8a + -8a

Combine like terms: 8a + -8a = 0
6 + -5a = -32 + 0
6 + -5a = -32

Add '-6' to each side of the equation.
6 + -6 + -5a = -32 + -6

Combine like terms: 6 + -6 = 0
0 + -5a = -32 + -6
-5a = -32 + -6

Combine like terms: -32 + -6 = -38
-5a = -38

Divide each side by '-5'.
a = 7.6

Simplifying
a = 7.6

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