Solve 2-3(x+1)=1-2(1+0.5x)

$$2 - 3 ( x + 1 ) = 1 - 2 ( 1 + 0.5 x )$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$2-3x-3=1-2\left(1+0.5x\right)$$

Subtract 3 from 2 to get -1.

$$-1-3x=1-2\left(1+0.5x\right)$$

Use the distributive property to multiply -2 by 1+0.5x.

$$-1-3x=1-2-x$$

Subtract 2 from 1 to get -1.

$$-1-3x=-1-x$$

Add x to both sides.

$$-1-3x+x=-1$$

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

$$-1-2x=-1$$

Add 1 to both sides.

$$-2x=-1+1$$

Add -1 and 1 to get 0.

$$-2x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -2 is not equal to 0, x must be equal to 0.

$$x=0$$