x+0.07+0.20(x+0.07x)=48.00

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Solution for x+0.07+0.20(x+0.07x)=48.00 equation: 


Simplifying
x + 0.07 + 0.20(x + 0.07x) = 48.00

Combine like terms: x + 0.07x = 1.07x
x + 0.07 + 0.20(1.07x) = 48.00

Remove parenthesis around (1.07x)
x + 0.07 + 0.20 * 1.07x = 48.00

Multiply 0.20 * 1.07
x + 0.07 + 0.214x = 48.00

Reorder the terms:
0.07 + x + 0.214x = 48.00

Combine like terms: x + 0.214x = 1.214x
0.07 + 1.214x = 48.00

Solving
0.07 + 1.214x = 48.00

Solving for variable 'x'.

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

Add '-0.07' to each side of the equation.
0.07 + -0.07 + 1.214x = 48.00 + -0.07

Combine like terms: 0.07 + -0.07 = 0.00
0.00 + 1.214x = 48.00 + -0.07
1.214x = 48.00 + -0.07

Combine like terms: 48.00 + -0.07 = 47.93
1.214x = 47.93

Divide each side by '1.214'.
x = 39.48105437

Simplifying
x = 39.48105437

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