100-x(0.04)+x(0.10)=100(0.08)z

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Solution for 100-x(0.04)+x(0.10)=100(0.08)z equation: 


Simplifying
100 + -1x(0.04) + x(0.10) = 100(0.08) * z

Reorder the terms for easier multiplication:
100 + -1 * 0.04x + x(0.10) = 100(0.08) * z

Multiply -1 * 0.04
100 + -0.04x + x(0.10) = 100(0.08) * z

Reorder the terms for easier multiplication:
100 + -0.04x + 0.10x = 100(0.08) * z

Combine like terms: -0.04x + 0.10x = 0.06x
100 + 0.06x = 100(0.08) * z

Multiply 100 * 0.08
100 + 0.06x = 8z

Solving
100 + 0.06x = 8z

Solving for variable 'x'.

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

Add '-100' to each side of the equation.
100 + -100 + 0.06x = -100 + 8z

Combine like terms: 100 + -100 = 0
0 + 0.06x = -100 + 8z
0.06x = -100 + 8z

Divide each side by '0.06'.
x = -1666.666667 + 133.3333333z

Simplifying
x = -1666.666667 + 133.3333333z

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