-5a+6(a+2)=2(a+1)-3

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Solution for -5a+6(a+2)=2(a+1)-3 equation:


Simplifying
-5a + 6(a + 2) = 2(a + 1) + -3

Reorder the terms:
-5a + 6(2 + a) = 2(a + 1) + -3
-5a + (2 * 6 + a * 6) = 2(a + 1) + -3
-5a + (12 + 6a) = 2(a + 1) + -3

Reorder the terms:
12 + -5a + 6a = 2(a + 1) + -3

Combine like terms: -5a + 6a = 1a
12 + 1a = 2(a + 1) + -3

Reorder the terms:
12 + 1a = 2(1 + a) + -3
12 + 1a = (1 * 2 + a * 2) + -3
12 + 1a = (2 + 2a) + -3

Reorder the terms:
12 + 1a = 2 + -3 + 2a

Combine like terms: 2 + -3 = -1
12 + 1a = -1 + 2a

Solving
12 + 1a = -1 + 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.
12 + 1a + -2a = -1 + 2a + -2a

Combine like terms: 1a + -2a = -1a
12 + -1a = -1 + 2a + -2a

Combine like terms: 2a + -2a = 0
12 + -1a = -1 + 0
12 + -1a = -1

Add '-12' to each side of the equation.
12 + -12 + -1a = -1 + -12

Combine like terms: 12 + -12 = 0
0 + -1a = -1 + -12
-1a = -1 + -12

Combine like terms: -1 + -12 = -13
-1a = -13

Divide each side by '-1'.
a = 13

Simplifying
a = 13

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