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

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


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

Reorder the terms:
5a + -2(5 + 4a) = 7
5a + (5 * -2 + 4a * -2) = 7
5a + (-10 + -8a) = 7

Reorder the terms:
-10 + 5a + -8a = 7

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

Solving
-10 + -3a = 7

Solving for variable 'a'.

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

Add '10' to each side of the equation.
-10 + 10 + -3a = 7 + 10

Combine like terms: -10 + 10 = 0
0 + -3a = 7 + 10
-3a = 7 + 10

Combine like terms: 7 + 10 = 17
-3a = 17

Divide each side by '-3'.
a = -5.666666667

Simplifying
a = -5.666666667

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