47.582-0.01(0.2+3x)=7.9x

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Solution for 47.582-0.01(0.2+3x)=7.9x equation: 


Simplifying
47.582 + -0.01(0.2 + 3x) = 7.9x
47.582 + (0.2 * -0.01 + 3x * -0.01) = 7.9x
47.582 + (-0.002 + -0.03x) = 7.9x

Combine like terms: 47.582 + -0.002 = 47.58
47.58 + -0.03x = 7.9x

Solving
47.58 + -0.03x = 7.9x

Solving for variable 'x'.

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

Add '-7.9x' to each side of the equation.
47.58 + -0.03x + -7.9x = 7.9x + -7.9x

Combine like terms: -0.03x + -7.9x = -7.93x
47.58 + -7.93x = 7.9x + -7.9x

Combine like terms: 7.9x + -7.9x = 0.0
47.58 + -7.93x = 0.0

Add '-47.58' to each side of the equation.
47.58 + -47.58 + -7.93x = 0.0 + -47.58

Combine like terms: 47.58 + -47.58 = 0.00
0.00 + -7.93x = 0.0 + -47.58
-7.93x = 0.0 + -47.58

Combine like terms: 0.0 + -47.58 = -47.58
-7.93x = -47.58

Divide each side by '-7.93'.
x = 6

Simplifying
x = 6

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