2(a+5)=7a-5

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


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

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

Reorder the terms:
10 + 2a = -5 + 7a

Solving
10 + 2a = -5 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
10 + 2a + -7a = -5 + 7a + -7a

Combine like terms: 2a + -7a = -5a
10 + -5a = -5 + 7a + -7a

Combine like terms: 7a + -7a = 0
10 + -5a = -5 + 0
10 + -5a = -5

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

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

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

Divide each side by '-5'.
a = 3

Simplifying
a = 3

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