Solve 4(x-5)=3(2x-1)

$$4 ( x - 5 ) = 3 ( 2 x - 1 )$$

Solve for x

$$x = -\frac{17}{2} = -8\frac{1}{2} = -8.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x-5.

$$4x-20=3\left(2x-1\right)$$

Use the distributive property to multiply 3 by 2x-1.

$$4x-20=6x-3$$

Subtract 6x from both sides.

$$4x-20-6x=-3$$

Combine 4x and -6x to get -2x.

$$-2x-20=-3$$

Add 20 to both sides.

$$-2x=-3+20$$

Add -3 and 20 to get 17.

$$-2x=17$$

Divide both sides by -2.

$$x=\frac{17}{-2}$$

Fraction \frac{17}{-2} can be rewritten as -\frac{17}{2} by extracting the negative sign.

$$x=-\frac{17}{2}$$