Solve 100(0.80+0.25(70))=100(0.70(x+70))

$$100(0.80+0.25(70))=100(0.70(x+70))$$

Solve for x

$$x = -\frac{307}{7} = -43\frac{6}{7} \approx -43.857142857$$

Steps for Solving Linear Equation

Cancel out 100 on both sides.

$$0.8+0.25\times 70=0.7\left(x+70\right)$$

Multiply 0.25 and 70 to get 17.5.

$$0.8+17.5=0.7\left(x+70\right)$$

Add 0.8 and 17.5 to get 18.3.

$$18.3=0.7\left(x+70\right)$$

Use the distributive property to multiply 0.7 by x+70.

$$18.3=0.7x+49$$

Swap sides so that all variable terms are on the left hand side.

$$0.7x+49=18.3$$

Subtract 49 from both sides.

$$0.7x=18.3-49$$

Subtract 49 from 18.3 to get -30.7.

$$0.7x=-30.7$$

Divide both sides by 0.7.

$$x=\frac{-30.7}{0.7}$$

Expand \frac{-30.7}{0.7} by multiplying both numerator and the denominator by 10.

$$x=\frac{-307}{7}$$

Fraction \frac{-307}{7} can be rewritten as -\frac{307}{7} by extracting the negative sign.

$$x=-\frac{307}{7}$$