x+0.2(9)=0.3(9+x)

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Solution for x+0.2(9)=0.3(9+x) equation: 


Simplifying
x + 0.2(9) = 0.3(9 + x)

Multiply 0.2 * 9
x + 1.8 = 0.3(9 + x)

Reorder the terms:
1.8 + x = 0.3(9 + x)
1.8 + x = (9 * 0.3 + x * 0.3)
1.8 + x = (2.7 + 0.3x)

Solving
1.8 + x = 2.7 + 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.
1.8 + x + -0.3x = 2.7 + 0.3x + -0.3x

Combine like terms: x + -0.3x = 0.7x
1.8 + 0.7x = 2.7 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
1.8 + 0.7x = 2.7 + 0.0
1.8 + 0.7x = 2.7

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 0.7x = 2.7 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.7x = 2.7 + -1.8
0.7x = 2.7 + -1.8

Combine like terms: 2.7 + -1.8 = 0.9
0.7x = 0.9

Divide each side by '0.7'.
x = 1.285714286

Simplifying
x = 1.285714286

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