2.1=20+0.5x+0.15(20+0.5x)

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Solution for 2.1=20+0.5x+0.15(20+0.5x) equation:


Simplifying
2.1 = 20 + 0.5x + 0.15(20 + 0.5x)
2.1 = 20 + 0.5x + (20 * 0.15 + 0.5x * 0.15)
2.1 = 20 + 0.5x + (3 + 0.075x)

Reorder the terms:
2.1 = 20 + 3 + 0.5x + 0.075x

Combine like terms: 20 + 3 = 23
2.1 = 23 + 0.5x + 0.075x

Combine like terms: 0.5x + 0.075x = 0.575x
2.1 = 23 + 0.575x

Solving
2.1 = 23 + 0.575x

Solving for variable 'x'.

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

Add '-0.575x' to each side of the equation.
2.1 + -0.575x = 23 + 0.575x + -0.575x

Combine like terms: 0.575x + -0.575x = 0.000
2.1 + -0.575x = 23 + 0.000
2.1 + -0.575x = 23

Add '-2.1' to each side of the equation.
2.1 + -2.1 + -0.575x = 23 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -0.575x = 23 + -2.1
-0.575x = 23 + -2.1

Combine like terms: 23 + -2.1 = 20.9
-0.575x = 20.9

Divide each side by '-0.575'.
x = -36.34782609

Simplifying
x = -36.34782609

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