Solve (122+27x)*2-(15x-0525):75=1101+15(11x-33)

$$( 122 + 27 x ) \cdot 2 - ( 15 x - 0525 ) : 75 = 1101 + 15 ( 11 x - 33 )$$

Solve for x

$$x = -\frac{905}{278} = -3\frac{71}{278} \approx -3.255395683$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 75.

$$75\left(122+27x\right)\times 2-\left(15x-0\times 525\right)=82575+1125\left(11x-33\right)$$

Multiply 75 and 2 to get 150.

$$150\left(122+27x\right)-\left(15x-0\times 525\right)=82575+1125\left(11x-33\right)$$

Use the distributive property to multiply 150 by 122+27x.

$$18300+4050x-\left(15x-0\times 525\right)=82575+1125\left(11x-33\right)$$

Multiply 0 and 525 to get 0.

$$18300+4050x-\left(15x-0\right)=82575+1125\left(11x-33\right)$$

Use the distributive property to multiply 1125 by 11x-33.

$$18300+4050x-\left(15x-0\right)=82575+12375x-37125$$

Subtract 37125 from 82575 to get 45450.

$$18300+4050x-\left(15x-0\right)=45450+12375x$$

Subtract 12375x from both sides.

$$18300+4050x-\left(15x-0\right)-12375x=45450$$

Combine 4050x and -12375x to get -8325x.

$$18300-8325x-\left(15x-0\right)=45450$$

Subtract 18300 from both sides.

$$-8325x-\left(15x-0\right)=45450-18300$$

Subtract 18300 from 45450 to get 27150.

$$-8325x-\left(15x-0\right)=27150$$

Reorder the terms.

$$-8325x-15x=27150$$

Combine -8325x and -15x to get -8340x.

$$-8340x=27150$$

Divide both sides by -8340.

$$x=\frac{27150}{-8340}$$

Reduce the fraction \frac{27150}{-8340} to lowest terms by extracting and canceling out 30.

$$x=-\frac{905}{278}$$