.1x+.2(9)=.12(x+9)

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Solution for .1x+.2(9)=.12(x+9) equation:


Simplifying
0.1x + 0.2(9) = 0.12(x + 9)

Multiply 0.2 * 9
0.1x + 1.8 = 0.12(x + 9)

Reorder the terms:
1.8 + 0.1x = 0.12(x + 9)

Reorder the terms:
1.8 + 0.1x = 0.12(9 + x)
1.8 + 0.1x = (9 * 0.12 + x * 0.12)
1.8 + 0.1x = (1.08 + 0.12x)

Solving
1.8 + 0.1x = 1.08 + 0.12x

Solving for variable 'x'.

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

Add '-0.12x' to each side of the equation.
1.8 + 0.1x + -0.12x = 1.08 + 0.12x + -0.12x

Combine like terms: 0.1x + -0.12x = -0.02x
1.8 + -0.02x = 1.08 + 0.12x + -0.12x

Combine like terms: 0.12x + -0.12x = 0.00
1.8 + -0.02x = 1.08 + 0.00
1.8 + -0.02x = 1.08

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.02x = 1.08 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.02x = 1.08 + -1.8
-0.02x = 1.08 + -1.8

Combine like terms: 1.08 + -1.8 = -0.72
-0.02x = -0.72

Divide each side by '-0.02'.
x = 36

Simplifying
x = 36

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