x(0.057)(3)+(x-1000)(0.04)(18)=748.50

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Solution for x(0.057)(3)+(x-1000)(0.04)(18)=748.50 equation:


Simplifying
x(0.057)(3) + (x + -1000)(0.04)(18) = 748.50

Reorder the terms for easier multiplication:
0.057 * 3x + (x + -1000)(0.04)(18) = 748.50

Multiply 0.057 * 3
0.171x + (x + -1000)(0.04)(18) = 748.50

Reorder the terms:
0.171x + (-1000 + x)(0.04)(18) = 748.50

Reorder the terms for easier multiplication:
0.171x + 0.04 * 18(-1000 + x) = 748.50

Multiply 0.04 * 18
0.171x + 0.72(-1000 + x) = 748.50
0.171x + (-1000 * 0.72 + x * 0.72) = 748.50
0.171x + (-720 + 0.72x) = 748.50

Reorder the terms:
-720 + 0.171x + 0.72x = 748.50

Combine like terms: 0.171x + 0.72x = 0.891x
-720 + 0.891x = 748.50

Solving
-720 + 0.891x = 748.50

Solving for variable 'x'.

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

Add '720' to each side of the equation.
-720 + 720 + 0.891x = 748.50 + 720

Combine like terms: -720 + 720 = 0
0 + 0.891x = 748.50 + 720
0.891x = 748.50 + 720

Combine like terms: 748.50 + 720 = 1468.5
0.891x = 1468.5

Divide each side by '0.891'.
x = 1648.148148

Simplifying
x = 1648.148148

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