0.85x+0.05(18-x)=0.10(153)

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Solution for 0.85x+0.05(18-x)=0.10(153) equation: 


Simplifying
0.85x + 0.05(18 + -1x) = 0.10(153)
0.85x + (18 * 0.05 + -1x * 0.05) = 0.10(153)
0.85x + (0.9 + -0.05x) = 0.10(153)

Reorder the terms:
0.9 + 0.85x + -0.05x = 0.10(153)

Combine like terms: 0.85x + -0.05x = 0.8x
0.9 + 0.8x = 0.10(153)

Multiply 0.10 * 153
0.9 + 0.8x = 15.3

Solving
0.9 + 0.8x = 15.3

Solving for variable 'x'.

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

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 0.8x = 15.3 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.8x = 15.3 + -0.9
0.8x = 15.3 + -0.9

Combine like terms: 15.3 + -0.9 = 14.4
0.8x = 14.4

Divide each side by '0.8'.
x = 18

Simplifying
x = 18

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