5(2-a)=4+6(3-a)-5a

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Solution for 5(2-a)=4+6(3-a)-5a equation:


Simplifying
5(2 + -1a) = 4 + 6(3 + -1a) + -5a
(2 * 5 + -1a * 5) = 4 + 6(3 + -1a) + -5a
(10 + -5a) = 4 + 6(3 + -1a) + -5a
10 + -5a = 4 + (3 * 6 + -1a * 6) + -5a
10 + -5a = 4 + (18 + -6a) + -5a

Combine like terms: 4 + 18 = 22
10 + -5a = 22 + -6a + -5a

Combine like terms: -6a + -5a = -11a
10 + -5a = 22 + -11a

Solving
10 + -5a = 22 + -11a

Solving for variable 'a'.

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

Add '11a' to each side of the equation.
10 + -5a + 11a = 22 + -11a + 11a

Combine like terms: -5a + 11a = 6a
10 + 6a = 22 + -11a + 11a

Combine like terms: -11a + 11a = 0
10 + 6a = 22 + 0
10 + 6a = 22

Add '-10' to each side of the equation.
10 + -10 + 6a = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 6a = 22 + -10
6a = 22 + -10

Combine like terms: 22 + -10 = 12
6a = 12

Divide each side by '6'.
a = 2

Simplifying
a = 2

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