Solve 0.45x+0.19(54-x)=1754

$$0.45 x + 0.19 ( 54 - x ) = 1754$$

Solve for x

$$x = \frac{87187}{13} = 6706\frac{9}{13} \approx 6706.692307692$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.19 by 54-x.

$$0.45x+10.26-0.19x=1754$$

Combine 0.45x and -0.19x to get 0.26x.

$$0.26x+10.26=1754$$

Subtract 10.26 from both sides.

$$0.26x=1754-10.26$$

Subtract 10.26 from 1754 to get 1743.74.

$$0.26x=1743.74$$

Divide both sides by 0.26.

$$x=\frac{1743.74}{0.26}$$

Expand \frac{1743.74}{0.26} by multiplying both numerator and the denominator by 100.

$$x=\frac{174374}{26}$$

Reduce the fraction \frac{174374}{26} to lowest terms by extracting and canceling out 2.

$$x=\frac{87187}{13}$$