1+0.8x=0.85(1+x)

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Solution for 1+0.8x=0.85(1+x) equation: 


Simplifying
1 + 0.8x = 0.85(1 + x)
1 + 0.8x = (1 * 0.85 + x * 0.85)
1 + 0.8x = (0.85 + 0.85x)

Solving
1 + 0.8x = 0.85 + 0.85x

Solving for variable 'x'.

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

Add '-0.85x' to each side of the equation.
1 + 0.8x + -0.85x = 0.85 + 0.85x + -0.85x

Combine like terms: 0.8x + -0.85x = -0.05x
1 + -0.05x = 0.85 + 0.85x + -0.85x

Combine like terms: 0.85x + -0.85x = 0.00
1 + -0.05x = 0.85 + 0.00
1 + -0.05x = 0.85

Add '-1' to each side of the equation.
1 + -1 + -0.05x = 0.85 + -1

Combine like terms: 1 + -1 = 0
0 + -0.05x = 0.85 + -1
-0.05x = 0.85 + -1

Combine like terms: 0.85 + -1 = -0.15
-0.05x = -0.15

Divide each side by '-0.05'.
x = 3

Simplifying
x = 3

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