.2(90x+42)=10x+10.4+2x

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Solution for .2(90x+42)=10x+10.4+2x equation:


Simplifying
0.2(90x + 42) = 10x + 10.4 + 2x

Reorder the terms:
0.2(42 + 90x) = 10x + 10.4 + 2x
(42 * 0.2 + 90x * 0.2) = 10x + 10.4 + 2x
(8.4 + 18x) = 10x + 10.4 + 2x

Reorder the terms:
8.4 + 18x = 10.4 + 10x + 2x

Combine like terms: 10x + 2x = 12x
8.4 + 18x = 10.4 + 12x

Solving
8.4 + 18x = 10.4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
8.4 + 18x + -12x = 10.4 + 12x + -12x

Combine like terms: 18x + -12x = 6x
8.4 + 6x = 10.4 + 12x + -12x

Combine like terms: 12x + -12x = 0
8.4 + 6x = 10.4 + 0
8.4 + 6x = 10.4

Add '-8.4' to each side of the equation.
8.4 + -8.4 + 6x = 10.4 + -8.4

Combine like terms: 8.4 + -8.4 = 0.0
0.0 + 6x = 10.4 + -8.4
6x = 10.4 + -8.4

Combine like terms: 10.4 + -8.4 = 2
6x = 2

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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