Solve 15*2(65x)-[24-2(x-5)]=150

$$15 \times 2 ( 65 x ) - [ 24 - 2 ( x - 5 ) ] = 150$$

Solve for x

$$x=\frac{23}{244}\approx 0.094262295$$

Steps for Solving Linear Equation

Multiply 15 and 2 to get 30.

$$30\times 65x-\left(24-2\left(x-5\right)\right)=150$$

Multiply 30 and 65 to get 1950.

$$1950x-\left(24-2\left(x-5\right)\right)=150$$

Use the distributive property to multiply -2 by x-5.

$$1950x-\left(24-2x+10\right)=150$$

Add 24 and 10 to get 34.

$$1950x-\left(34-2x\right)=150$$

To find the opposite of 34-2x, find the opposite of each term.

$$1950x-34-\left(-2x\right)=150$$

The opposite of -2x is 2x.

$$1950x-34+2x=150$$

Combine 1950x and 2x to get 1952x.

$$1952x-34=150$$

Add 34 to both sides.

$$1952x=150+34$$

Add 150 and 34 to get 184.

$$1952x=184$$

Divide both sides by 1952.

$$x=\frac{184}{1952}$$

Reduce the fraction \frac{184}{1952} to lowest terms by extracting and canceling out 8.

$$x=\frac{23}{244}$$