A+17=4(A-2)-5+3A

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Solution for A+17=4(A-2)-5+3A equation:


Simplifying
A + 17 = 4(A + -2) + -5 + 3A

Reorder the terms:
17 + A = 4(A + -2) + -5 + 3A

Reorder the terms:
17 + A = 4(-2 + A) + -5 + 3A
17 + A = (-2 * 4 + A * 4) + -5 + 3A
17 + A = (-8 + 4A) + -5 + 3A

Reorder the terms:
17 + A = -8 + -5 + 4A + 3A

Combine like terms: -8 + -5 = -13
17 + A = -13 + 4A + 3A

Combine like terms: 4A + 3A = 7A
17 + A = -13 + 7A

Solving
17 + A = -13 + 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.
17 + A + -7A = -13 + 7A + -7A

Combine like terms: A + -7A = -6A
17 + -6A = -13 + 7A + -7A

Combine like terms: 7A + -7A = 0
17 + -6A = -13 + 0
17 + -6A = -13

Add '-17' to each side of the equation.
17 + -17 + -6A = -13 + -17

Combine like terms: 17 + -17 = 0
0 + -6A = -13 + -17
-6A = -13 + -17

Combine like terms: -13 + -17 = -30
-6A = -30

Divide each side by '-6'.
A = 5

Simplifying
A = 5

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