Solve 4.25(x+2)=10.625*x

$$4.25(x+2)=10.625 \times x$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4.25 by x+2.

$$4.25x+8.5=10.625x$$

Subtract 10.625x from both sides.

$$4.25x+8.5-10.625x=0$$

Combine 4.25x and -10.625x to get -6.375x.

$$-6.375x+8.5=0$$

Subtract 8.5 from both sides. Anything subtracted from zero gives its negation.

$$-6.375x=-8.5$$

Divide both sides by -6.375.

$$x=\frac{-8.5}{-6.375}$$

Expand \frac{-8.5}{-6.375} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-8500}{-6375}$$

Reduce the fraction \frac{-8500}{-6375} to lowest terms by extracting and canceling out -2125.

$$x=\frac{4}{3}$$