.3(8)+x=.5(8+x)

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Solution for .3(8)+x=.5(8+x) equation: 


Simplifying
0.3(8) + x = 0.5(8 + x)

Multiply 0.3 * 8
2.4 + x = 0.5(8 + x)
2.4 + x = (8 * 0.5 + x * 0.5)
2.4 + x = (4 + 0.5x)

Solving
2.4 + x = 4 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
2.4 + x + -0.5x = 4 + 0.5x + -0.5x

Combine like terms: x + -0.5x = 0.5x
2.4 + 0.5x = 4 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
2.4 + 0.5x = 4 + 0.0
2.4 + 0.5x = 4

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 0.5x = 4 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 0.5x = 4 + -2.4
0.5x = 4 + -2.4

Combine like terms: 4 + -2.4 = 1.6
0.5x = 1.6

Divide each side by '0.5'.
x = 3.2

Simplifying
x = 3.2

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