Solve 17(x+4)+8(1e+6)=11(x+5)+15(x+3)

$$17 ( x + 4 ) + 8 ( 1 e + 6 ) = 11 ( x + 5 ) + 15 ( x + 3 )$$

Solve for x

$$x=\frac{8\left(e+2\right)}{9}\approx 4.194028292$$

Steps for Solving Linear Equation

Use the distributive property to multiply 17 by x+4.

$$17x+68+8\left(1e+6\right)=11\left(x+5\right)+15\left(x+3\right)$$

Use the distributive property to multiply 8 by 1e+6.

$$17x+68+8e+48=11\left(x+5\right)+15\left(x+3\right)$$

Add 68 and 48 to get 116.

$$17x+116+8e=11\left(x+5\right)+15\left(x+3\right)$$

Use the distributive property to multiply 11 by x+5.

$$17x+116+8e=11x+55+15\left(x+3\right)$$

Use the distributive property to multiply 15 by x+3.

$$17x+116+8e=11x+55+15x+45$$

Combine 11x and 15x to get 26x.

$$17x+116+8e=26x+55+45$$

Add 55 and 45 to get 100.

$$17x+116+8e=26x+100$$

Subtract 26x from both sides.

$$17x+116+8e-26x=100$$

Combine 17x and -26x to get -9x.

$$-9x+116+8e=100$$

Subtract 116 from both sides.

$$-9x+8e=100-116$$

Subtract 116 from 100 to get -16.

$$-9x+8e=-16$$

Subtract 8e from both sides.

$$-9x=-16-8e$$

The equation is in standard form.

$$-9x=-8e-16$$

Divide both sides by -9.

$$\frac{-9x}{-9}=\frac{-8e-16}{-9}$$

Dividing by -9 undoes the multiplication by -9.

$$x=\frac{-8e-16}{-9}$$

Divide -16-8e by -9.

$$x=\frac{8e+16}{9}$$