A+(0.4)(5)=0.9(A+5)

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Solution for A+(0.4)(5)=0.9(A+5) equation:


Simplifying
A + (0.4)(5) = 0.9(A + 5)

Multiply 0.4 * 5
A + 2 = 0.9(A + 5)

Reorder the terms:
2 + A = 0.9(A + 5)

Reorder the terms:
2 + A = 0.9(5 + A)
2 + A = (5 * 0.9 + A * 0.9)
2 + A = (4.5 + 0.9A)

Solving
2 + A = 4.5 + 0.9A

Solving for variable 'A'.

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

Add '-0.9A' to each side of the equation.
2 + A + -0.9A = 4.5 + 0.9A + -0.9A

Combine like terms: A + -0.9A = 0.1A
2 + 0.1A = 4.5 + 0.9A + -0.9A

Combine like terms: 0.9A + -0.9A = 0.0
2 + 0.1A = 4.5 + 0.0
2 + 0.1A = 4.5

Add '-2' to each side of the equation.
2 + -2 + 0.1A = 4.5 + -2

Combine like terms: 2 + -2 = 0
0 + 0.1A = 4.5 + -2
0.1A = 4.5 + -2

Combine like terms: 4.5 + -2 = 2.5
0.1A = 2.5

Divide each side by '0.1'.
A = 25

Simplifying
A = 25

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