.10(8)+x=.40(8+x)

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Solution for .10(8)+x=.40(8+x) equation: 


Simplifying
0.10(8) + x = 0.40(8 + x)

Multiply 0.10 * 8
0.8 + x = 0.40(8 + x)
0.8 + x = (8 * 0.40 + x * 0.40)
0.8 + x = (3.2 + 0.40x)

Solving
0.8 + x = 3.2 + 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.
0.8 + x + -0.40x = 3.2 + 0.40x + -0.40x

Combine like terms: x + -0.40x = 0.6x
0.8 + 0.6x = 3.2 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
0.8 + 0.6x = 3.2 + 0.00
0.8 + 0.6x = 3.2

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.6x = 3.2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.6x = 3.2 + -0.8
0.6x = 3.2 + -0.8

Combine like terms: 3.2 + -0.8 = 2.4
0.6x = 2.4

Divide each side by '0.6'.
x = 4

Simplifying
x = 4

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