.01(90)+.04X=.02(X+90)

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Solution for .01(90)+.04X=.02(X+90) equation: 


Simplifying
0.01(90) + 0.04X = 0.02(X + 90)

Multiply 0.01 * 90
0.9 + 0.04X = 0.02(X + 90)

Reorder the terms:
0.9 + 0.04X = 0.02(90 + X)
0.9 + 0.04X = (90 * 0.02 + X * 0.02)
0.9 + 0.04X = (1.8 + 0.02X)

Solving
0.9 + 0.04X = 1.8 + 0.02X

Solving for variable 'X'.

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

Add '-0.02X' to each side of the equation.
0.9 + 0.04X + -0.02X = 1.8 + 0.02X + -0.02X

Combine like terms: 0.04X + -0.02X = 0.02X
0.9 + 0.02X = 1.8 + 0.02X + -0.02X

Combine like terms: 0.02X + -0.02X = 0.00
0.9 + 0.02X = 1.8 + 0.00
0.9 + 0.02X = 1.8

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 0.02X = 1.8 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.02X = 1.8 + -0.9
0.02X = 1.8 + -0.9

Combine like terms: 1.8 + -0.9 = 0.9
0.02X = 0.9

Divide each side by '0.02'.
X = 45

Simplifying
X = 45

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