Solve 6left(x+4right)-5left(x+2right)=19-4left(x-5right)

$$6 \left( x+4 \right) -5 \left( x+2 \right) = 19-4 \left( x-5 \right)$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x+4.

$$6x+24-5\left(x+2\right)=19-4\left(x-5\right)$$

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

$$6x+24-5x-10=19-4\left(x-5\right)$$

Combine 6x and -5x to get x.

$$x+24-10=19-4\left(x-5\right)$$

Subtract 10 from 24 to get 14.

$$x+14=19-4\left(x-5\right)$$

Use the distributive property to multiply -4 by x-5.

$$x+14=19-4x+20$$

Add 19 and 20 to get 39.

$$x+14=39-4x$$

Add 4x to both sides.

$$x+14+4x=39$$

Combine x and 4x to get 5x.

$$5x+14=39$$

Subtract 14 from both sides.

$$5x=39-14$$

Subtract 14 from 39 to get 25.

$$5x=25$$

Divide both sides by 5.

$$x=\frac{25}{5}$$

Divide 25 by 5 to get 5.

$$x=5$$