Solve 75*18=(93-2)(18-x)

$$75 \times 18 = ( 93 - 2 ) ( 18 - x )$$

Solve for x

$$x = \frac{288}{91} = 3\frac{15}{91} \approx 3.164835165$$

Steps for Solving Linear Equation

Multiply 75 and 18 to get 1350.

$$1350=\left(93-2\right)\left(18-x\right)$$

Subtract 2 from 93 to get 91.

$$1350=91\left(18-x\right)$$

Use the distributive property to multiply 91 by 18-x.

$$1350=1638-91x$$

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

$$1638-91x=1350$$

Subtract 1638 from both sides.

$$-91x=1350-1638$$

Subtract 1638 from 1350 to get -288.

$$-91x=-288$$

Divide both sides by -91.

$$x=\frac{-288}{-91}$$

Fraction \frac{-288}{-91} can be simplified to \frac{288}{91} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{288}{91}$$