X+40(5)=.90(X+5)

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Solution for X+40(5)=.90(X+5) equation: 


Simplifying
X + 40(5) = 0.90(X + 5)

Multiply 40 * 5
X + 200 = 0.90(X + 5)

Reorder the terms:
200 + X = 0.90(X + 5)

Reorder the terms:
200 + X = 0.90(5 + X)
200 + X = (5 * 0.90 + X * 0.90)
200 + X = (4.5 + 0.90X)

Solving
200 + X = 4.5 + 0.90X

Solving for variable 'X'.

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

Add '-0.90X' to each side of the equation.
200 + X + -0.90X = 4.5 + 0.90X + -0.90X

Combine like terms: X + -0.90X = 0.1X
200 + 0.1X = 4.5 + 0.90X + -0.90X

Combine like terms: 0.90X + -0.90X = 0.00
200 + 0.1X = 4.5 + 0.00
200 + 0.1X = 4.5

Add '-200' to each side of the equation.
200 + -200 + 0.1X = 4.5 + -200

Combine like terms: 200 + -200 = 0
0 + 0.1X = 4.5 + -200
0.1X = 4.5 + -200

Combine like terms: 4.5 + -200 = -195.5
0.1X = -195.5

Divide each side by '0.1'.
X = -1955

Simplifying
X = -1955

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