Solve 100*69,7=68,9*x+70,9*(100-x)

$$100 \cdot 69,7 = 68,9 \cdot x + 70,9 \cdot ( 100 - x )$$

Solve for x

$$x=60$$

Steps for Solving Linear Equation

Multiply 100 and 69,7 to get 6970.

$$6970=68,9x+70,9\left(100-x\right)$$

Use the distributive property to multiply 70,9 by 100-x.

$$6970=68,9x+7090-70,9x$$

Combine 68,9x and -70,9x to get -2x.

$$6970=-2x+7090$$

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

$$-2x+7090=6970$$

Subtract 7090 from both sides.

$$-2x=6970-7090$$

Subtract 7090 from 6970 to get -120.

$$-2x=-120$$

Divide both sides by -2.

$$x=\frac{-120}{-2}$$

Divide -120 by -2 to get 60.

$$x=60$$