Solve 40*5+50*6+60*8+70*10+8x=left(5+6+8+10+xright)65

$$40 \cdot 5+50 \cdot 6+60 \cdot 8+70 \cdot 10+8x = \left( 5+6+8+10+x \right) 65$$

Solve for x

$$x = -\frac{205}{57} = -3\frac{34}{57} \approx -3.596491228$$

Steps for Solving Linear Equation

Multiply 40 and 5 to get 200. Multiply 50 and 6 to get 300. Multiply 60 and 8 to get 480. Multiply 70 and 10 to get 700.

$$200+300+480+700+8x=\left(5+6+8+10+x\right)\times 65$$

Add 200 and 300 to get 500.

$$500+480+700+8x=\left(5+6+8+10+x\right)\times 65$$

Add 500 and 480 to get 980.

$$980+700+8x=\left(5+6+8+10+x\right)\times 65$$

Add 980 and 700 to get 1680.

$$1680+8x=\left(5+6+8+10+x\right)\times 65$$

Add 5 and 6 to get 11.

$$1680+8x=\left(11+8+10+x\right)\times 65$$

Add 11 and 8 to get 19.

$$1680+8x=\left(19+10+x\right)\times 65$$

Add 19 and 10 to get 29.

$$1680+8x=\left(29+x\right)\times 65$$

Use the distributive property to multiply 29+x by 65.

$$1680+8x=1885+65x$$

Subtract 65x from both sides.

$$1680+8x-65x=1885$$

Combine 8x and -65x to get -57x.

$$1680-57x=1885$$

Subtract 1680 from both sides.

$$-57x=1885-1680$$

Subtract 1680 from 1885 to get 205.

$$-57x=205$$

Divide both sides by -57.

$$x=\frac{205}{-57}$$

Fraction \frac{205}{-57} can be rewritten as -\frac{205}{57} by extracting the negative sign.

$$x=-\frac{205}{57}$$