2(a+5)=6a-5

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Solution for 2(a+5)=6a-5 equation: 


Simplifying
2(a + 5) = 6a + -5

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

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

Solving
10 + 2a = -5 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
10 + 2a + -6a = -5 + 6a + -6a

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

Combine like terms: 6a + -6a = 0
10 + -4a = -5 + 0
10 + -4a = -5

Add '-10' to each side of the equation.
10 + -10 + -4a = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -4a = -5 + -10
-4a = -5 + -10

Combine like terms: -5 + -10 = -15
-4a = -15

Divide each side by '-4'.
a = 3.75

Simplifying
a = 3.75

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