Solve 1.5*18/266+18x=5.6/100

$$\frac { 1.5 \times 18 } { 266 + 18 x } = \frac { 5.6 } { 100 }$$

Solve for x

$$x = \frac{1513}{126} = 12\frac{1}{126} \approx 12.007936508$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{133}{9} since division by zero is not defined. Multiply both sides of the equation by 100\left(9x+133\right), the least common multiple of 266+18x,100.

$$50\times 1.5\times 18=\left(9x+133\right)\times 5.6$$

Multiply 50 and 1.5 to get 75.

$$75\times 18=\left(9x+133\right)\times 5.6$$

Multiply 75 and 18 to get 1350.

$$1350=\left(9x+133\right)\times 5.6$$

Use the distributive property to multiply 9x+133 by 5.6.

$$1350=50.4x+744.8$$

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

$$50.4x+744.8=1350$$

Subtract 744.8 from both sides.

$$50.4x=1350-744.8$$

Subtract 744.8 from 1350 to get 605.2.

$$50.4x=605.2$$

Divide both sides by 50.4.

$$x=\frac{605.2}{50.4}$$

Expand \frac{605.2}{50.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{6052}{504}$$

Reduce the fraction \frac{6052}{504} to lowest terms by extracting and canceling out 4.

$$x=\frac{1513}{126}$$