7a+2=2(a-5)-3

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Solution for 7a+2=2(a-5)-3 equation: 


Simplifying
7a + 2 = 2(a + -5) + -3

Reorder the terms:
2 + 7a = 2(a + -5) + -3

Reorder the terms:
2 + 7a = 2(-5 + a) + -3
2 + 7a = (-5 * 2 + a * 2) + -3
2 + 7a = (-10 + 2a) + -3

Reorder the terms:
2 + 7a = -10 + -3 + 2a

Combine like terms: -10 + -3 = -13
2 + 7a = -13 + 2a

Solving
2 + 7a = -13 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
2 + 7a + -2a = -13 + 2a + -2a

Combine like terms: 7a + -2a = 5a
2 + 5a = -13 + 2a + -2a

Combine like terms: 2a + -2a = 0
2 + 5a = -13 + 0
2 + 5a = -13

Add '-2' to each side of the equation.
2 + -2 + 5a = -13 + -2

Combine like terms: 2 + -2 = 0
0 + 5a = -13 + -2
5a = -13 + -2

Combine like terms: -13 + -2 = -15
5a = -15

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

Simplifying
a = -3

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