2(a+4)-3(2a+5)=10

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Solution for 2(a+4)-3(2a+5)=10 equation: 


Simplifying
2(a + 4) + -3(2a + 5) = 10

Reorder the terms:
2(4 + a) + -3(2a + 5) = 10
(4 * 2 + a * 2) + -3(2a + 5) = 10
(8 + 2a) + -3(2a + 5) = 10

Reorder the terms:
8 + 2a + -3(5 + 2a) = 10
8 + 2a + (5 * -3 + 2a * -3) = 10
8 + 2a + (-15 + -6a) = 10

Reorder the terms:
8 + -15 + 2a + -6a = 10

Combine like terms: 8 + -15 = -7
-7 + 2a + -6a = 10

Combine like terms: 2a + -6a = -4a
-7 + -4a = 10

Solving
-7 + -4a = 10

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 7 + -4a = 10 + 7

Combine like terms: -7 + 7 = 0
0 + -4a = 10 + 7
-4a = 10 + 7

Combine like terms: 10 + 7 = 17
-4a = 17

Divide each side by '-4'.
a = -4.25

Simplifying
a = -4.25

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