0.04(x)+0.10(18-x)=0.06(18)

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Solution for 0.04(x)+0.10(18-x)=0.06(18) equation:


Simplifying
0.04(x) + 0.10(18 + -1x) = 0.06(18)
0.04x + (18 * 0.10 + -1x * 0.10) = 0.06(18)
0.04x + (1.8 + -0.1x) = 0.06(18)

Reorder the terms:
1.8 + 0.04x + -0.1x = 0.06(18)

Combine like terms: 0.04x + -0.1x = -0.06x
1.8 + -0.06x = 0.06(18)

Multiply 0.06 * 18
1.8 + -0.06x = 1.08

Solving
1.8 + -0.06x = 1.08

Solving for variable 'x'.

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

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.06x = 1.08 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.06x = 1.08 + -1.8
-0.06x = 1.08 + -1.8

Combine like terms: 1.08 + -1.8 = -0.72
-0.06x = -0.72

Divide each side by '-0.06'.
x = 12

Simplifying
x = 12

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