40=.3(9x+30)+2

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Solution for 40=.3(9x+30)+2 equation: 


Simplifying
40 = 0.3(9x + 30) + 2

Reorder the terms:
40 = 0.3(30 + 9x) + 2
40 = (30 * 0.3 + 9x * 0.3) + 2
40 = (9 + 2.7x) + 2

Reorder the terms:
40 = 9 + 2 + 2.7x

Combine like terms: 9 + 2 = 11
40 = 11 + 2.7x

Solving
40 = 11 + 2.7x

Solving for variable 'x'.

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

Add '-2.7x' to each side of the equation.
40 + -2.7x = 11 + 2.7x + -2.7x

Combine like terms: 2.7x + -2.7x = 0.0
40 + -2.7x = 11 + 0.0
40 + -2.7x = 11

Add '-40' to each side of the equation.
40 + -40 + -2.7x = 11 + -40

Combine like terms: 40 + -40 = 0
0 + -2.7x = 11 + -40
-2.7x = 11 + -40

Combine like terms: 11 + -40 = -29
-2.7x = -29

Divide each side by '-2.7'.
x = 10.74074074

Simplifying
x = 10.74074074

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