x+0.07x+0.2(x+0.07)=48

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Solution for x+0.07x+0.2(x+0.07)=48 equation: 


Simplifying
x + 0.07x + 0.2(x + 0.07) = 48

Reorder the terms:
x + 0.07x + 0.2(0.07 + x) = 48
x + 0.07x + (0.07 * 0.2 + x * 0.2) = 48
x + 0.07x + (0.014 + 0.2x) = 48

Reorder the terms:
0.014 + x + 0.07x + 0.2x = 48

Combine like terms: x + 0.07x = 1.07x
0.014 + 1.07x + 0.2x = 48

Combine like terms: 1.07x + 0.2x = 1.27x
0.014 + 1.27x = 48

Solving
0.014 + 1.27x = 48

Solving for variable 'x'.

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

Add '-0.014' to each side of the equation.
0.014 + -0.014 + 1.27x = 48 + -0.014

Combine like terms: 0.014 + -0.014 = 0.000
0.000 + 1.27x = 48 + -0.014
1.27x = 48 + -0.014

Combine like terms: 48 + -0.014 = 47.986
1.27x = 47.986

Divide each side by '1.27'.
x = 37.78425197

Simplifying
x = 37.78425197

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