.01*90+.04x=.02(90+x)

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


Simplifying
0.01 * 90 + 0.04x = 0.02(90 + x)

Multiply 0.01 * 90
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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