Solve 2(8x-5)-3(x-1)=x+2

$$2 ( 8 x - 5 ) - 3 ( x - 1 ) = x + 2$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 8x-5.

$$16x-10-3\left(x-1\right)=x+2$$

Use the distributive property to multiply -3 by x-1.

$$16x-10-3x+3=x+2$$

Combine 16x and -3x to get 13x.

$$13x-10+3=x+2$$

Add -10 and 3 to get -7.

$$13x-7=x+2$$

Subtract x from both sides.

$$13x-7-x=2$$

Combine 13x and -x to get 12x.

$$12x-7=2$$

Add 7 to both sides.

$$12x=2+7$$

Add 2 and 7 to get 9.

$$12x=9$$

Divide both sides by 12.

$$x=\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$x=\frac{3}{4}$$