Solve 2x-1540/500=x/550+x-1540/660

$$\frac{ 2x-1540 }{ 500 } = \frac{ x }{ 550 } + \frac{ x-1540 }{ 660 }$$

Solve for x

$$x=1120$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 16500, the least common multiple of 500,550,660.

$$33\left(2x-1540\right)=30x+25\left(x-1540\right)$$

Use the distributive property to multiply 33 by 2x-1540.

$$66x-50820=30x+25\left(x-1540\right)$$

Use the distributive property to multiply 25 by x-1540.

$$66x-50820=30x+25x-38500$$

Combine 30x and 25x to get 55x.

$$66x-50820=55x-38500$$

Subtract 55x from both sides.

$$66x-50820-55x=-38500$$

Combine 66x and -55x to get 11x.

$$11x-50820=-38500$$

Add 50820 to both sides.

$$11x=-38500+50820$$

Add -38500 and 50820 to get 12320.

$$11x=12320$$

Divide both sides by 11.

$$x=\frac{12320}{11}$$

Divide 12320 by 11 to get 1120.

$$x=1120$$