Solve 10-3(x+2)=2(x+1-3)

$$10-3(x+2)=2(x+1-3)$$

Solve for x

$$x = \frac{8}{5} = 1\frac{3}{5} = 1.6$$

Steps for Solving Linear Equation

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

$$10-3x-6=2\left(x+1-3\right)$$

Subtract 6 from 10 to get 4.

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

Subtract 3 from 1 to get -2.

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

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

$$4-3x=2x-4$$

Subtract 2x from both sides.

$$4-3x-2x=-4$$

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

$$4-5x=-4$$

Subtract 4 from both sides.

$$-5x=-4-4$$

Subtract 4 from -4 to get -8.

$$-5x=-8$$

Divide both sides by -5.

$$x=\frac{-8}{-5}$$

Fraction \frac{-8}{-5} can be simplified to \frac{8}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{8}{5}$$