0.8+0.16(10-x)=0.40x

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Solution for 0.8+0.16(10-x)=0.40x equation:


Simplifying
0.8 + 0.16(10 + -1x) = 0.40x
0.8 + (10 * 0.16 + -1x * 0.16) = 0.40x
0.8 + (1.6 + -0.16x) = 0.40x

Combine like terms: 0.8 + 1.6 = 2.4
2.4 + -0.16x = 0.40x

Solving
2.4 + -0.16x = 0.40x

Solving for variable 'x'.

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

Add '-0.40x' to each side of the equation.
2.4 + -0.16x + -0.40x = 0.40x + -0.40x

Combine like terms: -0.16x + -0.40x = -0.56x
2.4 + -0.56x = 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
2.4 + -0.56x = 0.00

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -0.56x = 0.00 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -0.56x = 0.00 + -2.4
-0.56x = 0.00 + -2.4

Combine like terms: 0.00 + -2.4 = -2.4
-0.56x = -2.4

Divide each side by '-0.56'.
x = 4.285714286

Simplifying
x = 4.285714286

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