(1+0.11)=(1+0.02)(1+x)

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Solution for (1+0.11)=(1+0.02)(1+x) equation: 


Simplifying
(1 + 0.11) = (1 + 0.02)(1 + x)

Combine like terms: 1 + 0.11 = 1.11
(1.11) = (1 + 0.02)(1 + x)
1.11 = (1 + 0.02)(1 + x)

Combine like terms: 1 + 0.02 = 1.02
1.11 = (1.02)(1 + x)
1.11 = (1 * 1.02 + x * 1.02)
1.11 = (1.02 + 1.02x)

Solving
1.11 = 1.02 + 1.02x

Solving for variable 'x'.

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

Add '-1.02x' to each side of the equation.
1.11 + -1.02x = 1.02 + 1.02x + -1.02x

Combine like terms: 1.02x + -1.02x = 0.00
1.11 + -1.02x = 1.02 + 0.00
1.11 + -1.02x = 1.02

Add '-1.11' to each side of the equation.
1.11 + -1.11 + -1.02x = 1.02 + -1.11

Combine like terms: 1.11 + -1.11 = 0.00
0.00 + -1.02x = 1.02 + -1.11
-1.02x = 1.02 + -1.11

Combine like terms: 1.02 + -1.11 = -0.09
-1.02x = -0.09

Divide each side by '-1.02'.
x = 0.08823529412

Simplifying
x = 0.08823529412

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