Solve 5left(x-1right)=3left(x-2right)

$$5 \left( x-1 \right) =3 \left( x-2 \right)$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-1.

$$5x-5=3\left(x-2\right)$$

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

$$5x-5=3x-6$$

Subtract 3x from both sides.

$$5x-5-3x=-6$$

Combine 5x and -3x to get 2x.

$$2x-5=-6$$

Add 5 to both sides.

$$2x=-6+5$$

Add -6 and 5 to get -1.

$$2x=-1$$

Divide both sides by 2.

$$x=\frac{-1}{2}$$

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$x=-\frac{1}{2}$$