Solve 3-2(2x-3)+3(4x-1)=-20

$$3 - 2 ( 2 x - 3 ) + 3 ( 4 x - 1 ) = - 20$$

Solve for x

$$x = -\frac{13}{4} = -3\frac{1}{4} = -3.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 2x-3.

$$3-4x+6+3\left(4x-1\right)=-20$$

Add 3 and 6 to get 9.

$$9-4x+3\left(4x-1\right)=-20$$

Use the distributive property to multiply 3 by 4x-1.

$$9-4x+12x-3=-20$$

Combine -4x and 12x to get 8x.

$$9+8x-3=-20$$

Subtract 3 from 9 to get 6.

$$6+8x=-20$$

Subtract 6 from both sides.

$$8x=-20-6$$

Subtract 6 from -20 to get -26.

$$8x=-26$$

Divide both sides by 8.

$$x=\frac{-26}{8}$$

Reduce the fraction \frac{-26}{8} to lowest terms by extracting and canceling out 2.

$$x=-\frac{13}{4}$$