3a+5(a-4)=-7a+10

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Solution for 3a+5(a-4)=-7a+10 equation:


Simplifying
3a + 5(a + -4) = -7a + 10

Reorder the terms:
3a + 5(-4 + a) = -7a + 10
3a + (-4 * 5 + a * 5) = -7a + 10
3a + (-20 + 5a) = -7a + 10

Reorder the terms:
-20 + 3a + 5a = -7a + 10

Combine like terms: 3a + 5a = 8a
-20 + 8a = -7a + 10

Reorder the terms:
-20 + 8a = 10 + -7a

Solving
-20 + 8a = 10 + -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.
-20 + 8a + 7a = 10 + -7a + 7a

Combine like terms: 8a + 7a = 15a
-20 + 15a = 10 + -7a + 7a

Combine like terms: -7a + 7a = 0
-20 + 15a = 10 + 0
-20 + 15a = 10

Add '20' to each side of the equation.
-20 + 20 + 15a = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 15a = 10 + 20
15a = 10 + 20

Combine like terms: 10 + 20 = 30
15a = 30

Divide each side by '15'.
a = 2

Simplifying
a = 2

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