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

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Solution for -10+2(a+3)=4(2a-1)+5 equation:


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

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

Combine like terms: -10 + 6 = -4
-4 + 2a = 4(2a + -1) + 5

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

Reorder the terms:
-4 + 2a = -4 + 5 + 8a

Combine like terms: -4 + 5 = 1
-4 + 2a = 1 + 8a

Solving
-4 + 2a = 1 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-4 + 2a + -8a = 1 + 8a + -8a

Combine like terms: 2a + -8a = -6a
-4 + -6a = 1 + 8a + -8a

Combine like terms: 8a + -8a = 0
-4 + -6a = 1 + 0
-4 + -6a = 1

Add '4' to each side of the equation.
-4 + 4 + -6a = 1 + 4

Combine like terms: -4 + 4 = 0
0 + -6a = 1 + 4
-6a = 1 + 4

Combine like terms: 1 + 4 = 5
-6a = 5

Divide each side by '-6'.
a = -0.8333333333

Simplifying
a = -0.8333333333

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