.10(8-x)+x=0.40(8)

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Solution for .10(8-x)+x=0.40(8) equation: 


Simplifying
0.10(8 + -1x) + x = 0.40(8)
(8 * 0.10 + -1x * 0.10) + x = 0.40(8)
(0.8 + -0.1x) + x = 0.40(8)

Combine like terms: -0.1x + x = 0.9x
0.8 + 0.9x = 0.40(8)

Multiply 0.40 * 8
0.8 + 0.9x = 3.2

Solving
0.8 + 0.9x = 3.2

Solving for variable 'x'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.9x = 3.2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.9x = 3.2 + -0.8
0.9x = 3.2 + -0.8

Combine like terms: 3.2 + -0.8 = 2.4
0.9x = 2.4

Divide each side by '0.9'.
x = 2.666666667

Simplifying
x = 2.666666667

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