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

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


Simplifying
2(4a + -3) + -1(2a + 5) = 10

Reorder the terms:
2(-3 + 4a) + -1(2a + 5) = 10
(-3 * 2 + 4a * 2) + -1(2a + 5) = 10
(-6 + 8a) + -1(2a + 5) = 10

Reorder the terms:
-6 + 8a + -1(5 + 2a) = 10
-6 + 8a + (5 * -1 + 2a * -1) = 10
-6 + 8a + (-5 + -2a) = 10

Reorder the terms:
-6 + -5 + 8a + -2a = 10

Combine like terms: -6 + -5 = -11
-11 + 8a + -2a = 10

Combine like terms: 8a + -2a = 6a
-11 + 6a = 10

Solving
-11 + 6a = 10

Solving for variable 'a'.

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

Add '11' to each side of the equation.
-11 + 11 + 6a = 10 + 11

Combine like terms: -11 + 11 = 0
0 + 6a = 10 + 11
6a = 10 + 11

Combine like terms: 10 + 11 = 21
6a = 21

Divide each side by '6'.
a = 3.5

Simplifying
a = 3.5

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