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

$$5 \times ( 2 - x ) = - 3 ( x - 1 )$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

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

$$10-5x=-3\left(x-1\right)$$

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

$$10-5x=-3x+3$$

Add 3x to both sides.

$$10-5x+3x=3$$

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

$$10-2x=3$$

Subtract 10 from both sides.

$$-2x=3-10$$

Subtract 10 from 3 to get -7.

$$-2x=-7$$

Divide both sides by -2.

$$x=\frac{-7}{-2}$$

Fraction \frac{-7}{-2} can be simplified to \frac{7}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{2}$$