.10(8)+x=.3(8+x)

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Solution for .10(8)+x=.3(8+x) equation: 


Simplifying
0.10(8) + x = 0.3(8 + x)

Multiply 0.10 * 8
0.8 + x = 0.3(8 + x)
0.8 + x = (8 * 0.3 + x * 0.3)
0.8 + x = (2.4 + 0.3x)

Solving
0.8 + x = 2.4 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
0.8 + x + -0.3x = 2.4 + 0.3x + -0.3x

Combine like terms: x + -0.3x = 0.7x
0.8 + 0.7x = 2.4 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.8 + 0.7x = 2.4 + 0.0
0.8 + 0.7x = 2.4

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.7x = 2.4 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.7x = 2.4 + -0.8
0.7x = 2.4 + -0.8

Combine like terms: 2.4 + -0.8 = 1.6
0.7x = 1.6

Divide each side by '0.7'.
x = 2.285714286

Simplifying
x = 2.285714286

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