Solve 0.320*389*(x-433)=0.270*2427*(x-291)

$$0.320 \times 389 \times (x-433)=0.270 \times 2427 \times (x-291)$$

Solve for x

$$x = \frac{13678955}{53081} = 257\frac{37138}{53081} \approx 257.699647708$$

Steps for Solving Linear Equation

Multiply 0.32 and 389 to get 124.48.

$$124.48\left(x-433\right)=0.27\times 2427\left(x-291\right)$$

Use the distributive property to multiply 124.48 by x-433.

$$124.48x-53899.84=0.27\times 2427\left(x-291\right)$$

Multiply 0.27 and 2427 to get 655.29.

$$124.48x-53899.84=655.29\left(x-291\right)$$

Use the distributive property to multiply 655.29 by x-291.

$$124.48x-53899.84=655.29x-190689.39$$

Subtract 655.29x from both sides.

$$124.48x-53899.84-655.29x=-190689.39$$

Combine 124.48x and -655.29x to get -530.81x.

$$-530.81x-53899.84=-190689.39$$

Add 53899.84 to both sides.

$$-530.81x=-190689.39+53899.84$$

Add -190689.39 and 53899.84 to get -136789.55.

$$-530.81x=-136789.55$$

Divide both sides by -530.81.

$$x=\frac{-136789.55}{-530.81}$$

Expand \frac{-136789.55}{-530.81} by multiplying both numerator and the denominator by 100.

$$x=\frac{-13678955}{-53081}$$

Fraction \frac{-13678955}{-53081} can be simplified to \frac{13678955}{53081} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{13678955}{53081}$$