X+.40(2)=.90(X+5)

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Solution for X+.40(2)=.90(X+5) equation: 


Simplifying
X + 0.40(2) = 0.90(X + 5)

Multiply 0.40 * 2
X + 0.8 = 0.90(X + 5)

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

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

Solving
0.8 + 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.
0.8 + X + -0.90X = 4.5 + 0.90X + -0.90X

Combine like terms: X + -0.90X = 0.1X
0.8 + 0.1X = 4.5 + 0.90X + -0.90X

Combine like terms: 0.90X + -0.90X = 0.00
0.8 + 0.1X = 4.5 + 0.00
0.8 + 0.1X = 4.5

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.1X = 4.5 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.1X = 4.5 + -0.8
0.1X = 4.5 + -0.8

Combine like terms: 4.5 + -0.8 = 3.7
0.1X = 3.7

Divide each side by '0.1'.
X = 37

Simplifying
X = 37

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