0.2x+0.08(10)=0.3(x+10)

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Solution for 0.2x+0.08(10)=0.3(x+10) equation: 


Simplifying
0.2x + 0.08(10) = 0.3(x + 10)

Multiply 0.08 * 10
0.2x + 0.8 = 0.3(x + 10)

Reorder the terms:
0.8 + 0.2x = 0.3(x + 10)

Reorder the terms:
0.8 + 0.2x = 0.3(10 + x)
0.8 + 0.2x = (10 * 0.3 + x * 0.3)
0.8 + 0.2x = (3 + 0.3x)

Solving
0.8 + 0.2x = 3 + 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 + 0.2x + -0.3x = 3 + 0.3x + -0.3x

Combine like terms: 0.2x + -0.3x = -0.1x
0.8 + -0.1x = 3 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.8 + -0.1x = 3 + 0.0
0.8 + -0.1x = 3

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.1x = 3 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.1x = 3 + -0.8
-0.1x = 3 + -0.8

Combine like terms: 3 + -0.8 = 2.2
-0.1x = 2.2

Divide each side by '-0.1'.
x = -22

Simplifying
x = -22

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