Solve 7(2+x)=5(x-2.5)+35

$$7(2+x)=5(x-2.5)+35$$

Solve for x

$$x=4.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by 2+x.

$$14+7x=5\left(x-2.5\right)+35$$

Use the distributive property to multiply 5 by x-2.5.

$$14+7x=5x-12.5+35$$

Add -12.5 and 35 to get 22.5.

$$14+7x=5x+22.5$$

Subtract 5x from both sides.

$$14+7x-5x=22.5$$

Combine 7x and -5x to get 2x.

$$14+2x=22.5$$

Subtract 14 from both sides.

$$2x=22.5-14$$

Subtract 14 from 22.5 to get 8.5.

$$2x=8.5$$

Divide both sides by 2.

$$x=\frac{8.5}{2}$$

Expand \frac{8.5}{2} by multiplying both numerator and the denominator by 10.

$$x=\frac{85}{20}$$

Reduce the fraction \frac{85}{20} to lowest terms by extracting and canceling out 5.

$$x=\frac{17}{4}$$