Solve 15-3x=55/4-5x

$$15-3x= \frac{ 55 }{ 4 } -5x$$

Solve for x

$$x=-\frac{5}{8}=-0.625$$

Steps for Solving Linear Equation

Add 5x to both sides.

$$15-3x+5x=\frac{55}{4}$$

Combine -3x and 5x to get 2x.

$$15+2x=\frac{55}{4}$$

Subtract 15 from both sides.

$$2x=\frac{55}{4}-15$$

Convert 15 to fraction \frac{60}{4}.

$$2x=\frac{55}{4}-\frac{60}{4}$$

Since \frac{55}{4} and \frac{60}{4} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{55-60}{4}$$

Subtract 60 from 55 to get -5.

$$2x=-\frac{5}{4}$$

Divide both sides by 2.

$$x=\frac{-\frac{5}{4}}{2}$$

Express \frac{-\frac{5}{4}}{2} as a single fraction.

$$x=\frac{-5}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$x=\frac{-5}{8}$$

Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

$$x=-\frac{5}{8}$$