.15(x)+0.20(12)=0.18(x+12)

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Solution for .15(x)+0.20(12)=0.18(x+12) equation: 


Simplifying
0.15(x) + 0.20(12) = 0.18(x + 12)

Multiply 0.20 * 12
0.15x + 2.4 = 0.18(x + 12)

Reorder the terms:
2.4 + 0.15x = 0.18(x + 12)

Reorder the terms:
2.4 + 0.15x = 0.18(12 + x)
2.4 + 0.15x = (12 * 0.18 + x * 0.18)
2.4 + 0.15x = (2.16 + 0.18x)

Solving
2.4 + 0.15x = 2.16 + 0.18x

Solving for variable 'x'.

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

Add '-0.18x' to each side of the equation.
2.4 + 0.15x + -0.18x = 2.16 + 0.18x + -0.18x

Combine like terms: 0.15x + -0.18x = -0.03x
2.4 + -0.03x = 2.16 + 0.18x + -0.18x

Combine like terms: 0.18x + -0.18x = 0.00
2.4 + -0.03x = 2.16 + 0.00
2.4 + -0.03x = 2.16

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -0.03x = 2.16 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -0.03x = 2.16 + -2.4
-0.03x = 2.16 + -2.4

Combine like terms: 2.16 + -2.4 = -0.24
-0.03x = -0.24

Divide each side by '-0.03'.
x = 8

Simplifying
x = 8

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