7(2a-8)=4(2a-5)

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Solution for 7(2a-8)=4(2a-5) equation:


Simplifying
7(2a + -8) = 4(2a + -5)

Reorder the terms:
7(-8 + 2a) = 4(2a + -5)
(-8 * 7 + 2a * 7) = 4(2a + -5)
(-56 + 14a) = 4(2a + -5)

Reorder the terms:
-56 + 14a = 4(-5 + 2a)
-56 + 14a = (-5 * 4 + 2a * 4)
-56 + 14a = (-20 + 8a)

Solving
-56 + 14a = -20 + 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.
-56 + 14a + -8a = -20 + 8a + -8a

Combine like terms: 14a + -8a = 6a
-56 + 6a = -20 + 8a + -8a

Combine like terms: 8a + -8a = 0
-56 + 6a = -20 + 0
-56 + 6a = -20

Add '56' to each side of the equation.
-56 + 56 + 6a = -20 + 56

Combine like terms: -56 + 56 = 0
0 + 6a = -20 + 56
6a = -20 + 56

Combine like terms: -20 + 56 = 36
6a = 36

Divide each side by '6'.
a = 6

Simplifying
a = 6

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