Solve x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=75

$$x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=75$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Combine x and x to get 2x.

$$2x+1+x+2+x+3+x+4+x+5=75$$

Combine 2x and x to get 3x.

$$3x+1+2+x+3+x+4+x+5=75$$

Add 1 and 2 to get 3.

$$3x+3+x+3+x+4+x+5=75$$

Combine 3x and x to get 4x.

$$4x+3+3+x+4+x+5=75$$

Add 3 and 3 to get 6.

$$4x+6+x+4+x+5=75$$

Combine 4x and x to get 5x.

$$5x+6+4+x+5=75$$

Add 6 and 4 to get 10.

$$5x+10+x+5=75$$

Combine 5x and x to get 6x.

$$6x+10+5=75$$

Add 10 and 5 to get 15.

$$6x+15=75$$

Subtract 15 from both sides.

$$6x=75-15$$

Subtract 15 from 75 to get 60.

$$6x=60$$

Divide both sides by 6.

$$x=\frac{60}{6}$$

Divide 60 by 6 to get 10.

$$x=10$$