30=(2x+.2(2x))1.13+10

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Solution for 30=(2x+.2(2x))1.13+10 equation: 


Simplifying
30 = (2x + 0.2(2x)) * 1.13 + 10

Remove parenthesis around (2x)
30 = (2x + 0.2 * 2x) * 1.13 + 10

Multiply 0.2 * 2
30 = (2x + 0.4x) * 1.13 + 10

Combine like terms: 2x + 0.4x = 2.4x
30 = (2.4x) * 1.13 + 10

Remove parenthesis around (2.4x)
30 = 2.4x * 1.13 + 10

Reorder the terms for easier multiplication:
30 = 2.4 * 1.13x + 10

Multiply 2.4 * 1.13
30 = 2.712x + 10

Reorder the terms:
30 = 10 + 2.712x

Solving
30 = 10 + 2.712x

Solving for variable 'x'.

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

Add '-2.712x' to each side of the equation.
30 + -2.712x = 10 + 2.712x + -2.712x

Combine like terms: 2.712x + -2.712x = 0.000
30 + -2.712x = 10 + 0.000
30 + -2.712x = 10

Add '-30' to each side of the equation.
30 + -30 + -2.712x = 10 + -30

Combine like terms: 30 + -30 = 0
0 + -2.712x = 10 + -30
-2.712x = 10 + -30

Combine like terms: 10 + -30 = -20
-2.712x = -20

Divide each side by '-2.712'.
x = 7.374631268

Simplifying
x = 7.374631268

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