Solve 6+2(x-1)=4(x+1)

$$6 + 2 ( x - 1 ) = 4 ( x + 1 )$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$6+2x-2=4\left(x+1\right)$$

Subtract 2 from 6 to get 4.

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

Use the distributive property to multiply 4 by x+1.

$$4+2x=4x+4$$

Subtract 4x from both sides.

$$4+2x-4x=4$$

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

$$4-2x=4$$

Subtract 4 from both sides.

$$-2x=4-4$$

Subtract 4 from 4 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.

$$x=0$$