5A+2(3A-5)=1+5(A+2)-A+3(3-4)

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Solution for 5A+2(3A-5)=1+5(A+2)-A+3(3-4) equation: 


Simplifying
5A + 2(3A + -5) = 1 + 5(A + 2) + -1A + 3(3 + -4)

Reorder the terms:
5A + 2(-5 + 3A) = 1 + 5(A + 2) + -1A + 3(3 + -4)
5A + (-5 * 2 + 3A * 2) = 1 + 5(A + 2) + -1A + 3(3 + -4)
5A + (-10 + 6A) = 1 + 5(A + 2) + -1A + 3(3 + -4)

Reorder the terms:
-10 + 5A + 6A = 1 + 5(A + 2) + -1A + 3(3 + -4)

Combine like terms: 5A + 6A = 11A
-10 + 11A = 1 + 5(A + 2) + -1A + 3(3 + -4)

Reorder the terms:
-10 + 11A = 1 + 5(2 + A) + -1A + 3(3 + -4)
-10 + 11A = 1 + (2 * 5 + A * 5) + -1A + 3(3 + -4)
-10 + 11A = 1 + (10 + 5A) + -1A + 3(3 + -4)

Combine like terms: 3 + -4 = -1
-10 + 11A = 1 + 10 + 5A + -1A + 3(-1)

Multiply 3 * -1
-10 + 11A = 1 + 10 + 5A + -1A + -3

Reorder the terms:
-10 + 11A = 1 + 10 + -3 + 5A + -1A

Combine like terms: 1 + 10 = 11
-10 + 11A = 11 + -3 + 5A + -1A

Combine like terms: 11 + -3 = 8
-10 + 11A = 8 + 5A + -1A

Combine like terms: 5A + -1A = 4A
-10 + 11A = 8 + 4A

Solving
-10 + 11A = 8 + 4A

Solving for variable 'A'.

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

Add '-4A' to each side of the equation.
-10 + 11A + -4A = 8 + 4A + -4A

Combine like terms: 11A + -4A = 7A
-10 + 7A = 8 + 4A + -4A

Combine like terms: 4A + -4A = 0
-10 + 7A = 8 + 0
-10 + 7A = 8

Add '10' to each side of the equation.
-10 + 10 + 7A = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 7A = 8 + 10
7A = 8 + 10

Combine like terms: 8 + 10 = 18
7A = 18

Divide each side by '7'.
A = 2.571428571

Simplifying
A = 2.571428571

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