Solve 4-3(5+x)=2(x+5)-1

$$4 - 3 ( 5 + x ) = 2 ( x + 5 ) - 1$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 5+x.

$$4-15-3x=2\left(x+5\right)-1$$

Subtract 15 from 4 to get -11.

$$-11-3x=2\left(x+5\right)-1$$

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

$$-11-3x=2x+10-1$$

Subtract 1 from 10 to get 9.

$$-11-3x=2x+9$$

Subtract 2x from both sides.

$$-11-3x-2x=9$$

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

$$-11-5x=9$$

Add 11 to both sides.

$$-5x=9+11$$

Add 9 and 11 to get 20.

$$-5x=20$$

Divide both sides by -5.

$$x=\frac{20}{-5}$$

Divide 20 by -5 to get -4.

$$x=-4$$