Solve 7(x+7)+x=4(x+5)+6

$$7(x+7)+x=4(x+5)+6$$

Solve for x

$$x = -\frac{23}{4} = -5\frac{3}{4} = -5.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x+7.

$$7x+49+x=4\left(x+5\right)+6$$

Combine 7x and x to get 8x.

$$8x+49=4\left(x+5\right)+6$$

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

$$8x+49=4x+20+6$$

Add 20 and 6 to get 26.

$$8x+49=4x+26$$

Subtract 4x from both sides.

$$8x+49-4x=26$$

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

$$4x+49=26$$

Subtract 49 from both sides.

$$4x=26-49$$

Subtract 49 from 26 to get -23.

$$4x=-23$$

Divide both sides by 4.

$$x=\frac{-23}{4}$$

Fraction \frac{-23}{4} can be rewritten as -\frac{23}{4} by extracting the negative sign.

$$x=-\frac{23}{4}$$