4(3a-8)=7a-17

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Solution for 4(3a-8)=7a-17 equation:


Simplifying
4(3a + -8) = 7a + -17

Reorder the terms:
4(-8 + 3a) = 7a + -17
(-8 * 4 + 3a * 4) = 7a + -17
(-32 + 12a) = 7a + -17

Reorder the terms:
-32 + 12a = -17 + 7a

Solving
-32 + 12a = -17 + 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.
-32 + 12a + -7a = -17 + 7a + -7a

Combine like terms: 12a + -7a = 5a
-32 + 5a = -17 + 7a + -7a

Combine like terms: 7a + -7a = 0
-32 + 5a = -17 + 0
-32 + 5a = -17

Add '32' to each side of the equation.
-32 + 32 + 5a = -17 + 32

Combine like terms: -32 + 32 = 0
0 + 5a = -17 + 32
5a = -17 + 32

Combine like terms: -17 + 32 = 15
5a = 15

Divide each side by '5'.
a = 3

Simplifying
a = 3

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