Solve 5/4x+5,25=8-7,25x

$$\frac { 5 } { 4 } x + 5,25 = 8 - 7,25 x$$

Solve for x

$$x=\frac{11}{34}\approx 0,323529412$$

Steps for Solving Linear Equation

Add 7,25x to both sides.

$$\frac{5}{4}x+5,25+7,25x=8$$

Combine \frac{5}{4}x and 7,25x to get \frac{17}{2}x.

$$\frac{17}{2}x+5,25=8$$

Subtract 5,25 from both sides.

$$\frac{17}{2}x=8-5,25$$

Subtract 5,25 from 8 to get 2,75.

$$\frac{17}{2}x=2,75$$

Multiply both sides by \frac{2}{17}, the reciprocal of \frac{17}{2}.

$$x=2,75\times \frac{2}{17}$$

Convert decimal number 2,75 to fraction \frac{275}{100}. Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.

$$x=\frac{11}{4}\times \frac{2}{17}$$

Multiply \frac{11}{4} times \frac{2}{17} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{11\times 2}{4\times 17}$$

Do the multiplications in the fraction \frac{11\times 2}{4\times 17}.

$$x=\frac{22}{68}$$

Reduce the fraction \frac{22}{68} to lowest terms by extracting and canceling out 2.

$$x=\frac{11}{34}$$