10+2(a+1)=7a-3

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Solution for 10+2(a+1)=7a-3 equation:


Simplifying
10 + 2(a + 1) = 7a + -3

Reorder the terms:
10 + 2(1 + a) = 7a + -3
10 + (1 * 2 + a * 2) = 7a + -3
10 + (2 + 2a) = 7a + -3

Combine like terms: 10 + 2 = 12
12 + 2a = 7a + -3

Reorder the terms:
12 + 2a = -3 + 7a

Solving
12 + 2a = -3 + 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.
12 + 2a + -7a = -3 + 7a + -7a

Combine like terms: 2a + -7a = -5a
12 + -5a = -3 + 7a + -7a

Combine like terms: 7a + -7a = 0
12 + -5a = -3 + 0
12 + -5a = -3

Add '-12' to each side of the equation.
12 + -12 + -5a = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -5a = -3 + -12
-5a = -3 + -12

Combine like terms: -3 + -12 = -15
-5a = -15

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

Simplifying
a = 3

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