.8(1+.5x)=.1(12+x)

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Solution for .8(1+.5x)=.1(12+x) equation: 


Simplifying
0.8(1 + 0.5x) = 0.1(12 + x)
(1 * 0.8 + 0.5x * 0.8) = 0.1(12 + x)
(0.8 + 0.4x) = 0.1(12 + x)
0.8 + 0.4x = (12 * 0.1 + x * 0.1)
0.8 + 0.4x = (1.2 + 0.1x)

Solving
0.8 + 0.4x = 1.2 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
0.8 + 0.4x + -0.1x = 1.2 + 0.1x + -0.1x

Combine like terms: 0.4x + -0.1x = 0.3x
0.8 + 0.3x = 1.2 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
0.8 + 0.3x = 1.2 + 0.0
0.8 + 0.3x = 1.2

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.3x = 1.2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.3x = 1.2 + -0.8
0.3x = 1.2 + -0.8

Combine like terms: 1.2 + -0.8 = 0.4
0.3x = 0.4

Divide each side by '0.3'.
x = 1.333333333

Simplifying
x = 1.333333333

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