Solve 2(x+5)-3(4+x)-4x=2x-23

$$2 ( x + 5 ) - 3 ( 4 + x ) - 4 x = 2 x - 23$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$2x+10-3\left(4+x\right)-4x=2x-23$$

Use the distributive property to multiply -3 by 4+x.

$$2x+10-12-3x-4x=2x-23$$

Subtract 12 from 10 to get -2.

$$2x-2-3x-4x=2x-23$$

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

$$-x-2-4x=2x-23$$

Combine -x and -4x to get -5x.

$$-5x-2=2x-23$$

Subtract 2x from both sides.

$$-5x-2-2x=-23$$

Combine -5x and -2x to get -7x.

$$-7x-2=-23$$

Add 2 to both sides.

$$-7x=-23+2$$

Add -23 and 2 to get -21.

$$-7x=-21$$

Divide both sides by -7.

$$x=\frac{-21}{-7}$$

Divide -21 by -7 to get 3.

$$x=3$$