Solve 3(x+5)-2(3+x)-5x=13+4(x-1)

$$3 ( x + 5 ) - 2 ( 3 + x ) - 5 x = 13 + 4 ( x - 1 )$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$3x+15-2\left(3+x\right)-5x=13+4\left(x-1\right)$$

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

$$3x+15-6-2x-5x=13+4\left(x-1\right)$$

Subtract 6 from 15 to get 9.

$$3x+9-2x-5x=13+4\left(x-1\right)$$

Combine 3x and -2x to get x.

$$x+9-5x=13+4\left(x-1\right)$$

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

$$-4x+9=13+4\left(x-1\right)$$

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

$$-4x+9=13+4x-4$$

Subtract 4 from 13 to get 9.

$$-4x+9=9+4x$$

Subtract 4x from both sides.

$$-4x+9-4x=9$$

Combine -4x and -4x to get -8x.

$$-8x+9=9$$

Subtract 9 from both sides.

$$-8x=9-9$$

Subtract 9 from 9 to get 0.

$$-8x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -8 is not equal to 0, x must be equal to 0.

$$x=0$$