Solve -5.16%=(11142-x)div11142*100%

$$-5.16 \% =(11142-x) \div 11142 \times 100 \%$$

Solve for x

$$x=11716.9272$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 557100, the least common multiple of 100,11142.

$$-5571\times 5.16=50\left(11142-x\right)\times \frac{100}{100}$$

Multiply -5571 and 5.16 to get -28746.36.

$$-28746.36=50\left(11142-x\right)\times \frac{100}{100}$$

Divide 100 by 100 to get 1.

$$-28746.36=50\left(11142-x\right)\times 1$$

Multiply 50 and 1 to get 50.

$$-28746.36=50\left(11142-x\right)$$

Use the distributive property to multiply 50 by 11142-x.

$$-28746.36=557100-50x$$

Swap sides so that all variable terms are on the left hand side.

$$557100-50x=-28746.36$$

Subtract 557100 from both sides.

$$-50x=-28746.36-557100$$

Subtract 557100 from -28746.36 to get -585846.36.

$$-50x=-585846.36$$

Divide both sides by -50.

$$x=\frac{-585846.36}{-50}$$

Expand \frac{-585846.36}{-50} by multiplying both numerator and the denominator by 100.

$$x=\frac{-58584636}{-5000}$$

Reduce the fraction \frac{-58584636}{-5000} to lowest terms by extracting and canceling out -4.

$$x=\frac{14646159}{1250}$$