Solve 2(x-7)-3(x+2)+4(x+1)-2=0

$$2 ( x - 7 ) - 3 ( x + 2 ) + 4 ( x + 1 ) - 2 = 0$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-7.

$$2x-14-3\left(x+2\right)+4\left(x+1\right)-2=0$$

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

$$2x-14-3x-6+4\left(x+1\right)-2=0$$

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

$$-x-14-6+4\left(x+1\right)-2=0$$

Subtract 6 from -14 to get -20.

$$-x-20+4\left(x+1\right)-2=0$$

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

$$-x-20+4x+4-2=0$$

Combine -x and 4x to get 3x.

$$3x-20+4-2=0$$

Add -20 and 4 to get -16.

$$3x-16-2=0$$

Subtract 2 from -16 to get -18.

$$3x-18=0$$

Add 18 to both sides. Anything plus zero gives itself.

$$3x=18$$

Divide both sides by 3.

$$x=\frac{18}{3}$$

Divide 18 by 3 to get 6.

$$x=6$$