6+2(5-3)=8+6(2a-3)

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Solution for 6+2(5-3)=8+6(2a-3) equation: 


Simplifying
6 + 2(5 + -3) = 8 + 6(2a + -3)

Combine like terms: 5 + -3 = 2
6 + 2(2) = 8 + 6(2a + -3)

Multiply 2 * 2
6 + 4 = 8 + 6(2a + -3)

Combine like terms: 6 + 4 = 10
10 = 8 + 6(2a + -3)

Reorder the terms:
10 = 8 + 6(-3 + 2a)
10 = 8 + (-3 * 6 + 2a * 6)
10 = 8 + (-18 + 12a)

Combine like terms: 8 + -18 = -10
10 = -10 + 12a

Solving
10 = -10 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
10 + -12a = -10 + 12a + -12a

Combine like terms: 12a + -12a = 0
10 + -12a = -10 + 0
10 + -12a = -10

Add '-10' to each side of the equation.
10 + -10 + -12a = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -12a = -10 + -10
-12a = -10 + -10

Combine like terms: -10 + -10 = -20
-12a = -20

Divide each side by '-12'.
a = 1.666666667

Simplifying
a = 1.666666667

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