Solve 2x(3/8+5)=5x-2/8

$$2x( \frac{ 3 }{ 8 } +5)=5x- \frac{ 2 }{ 8 }$$

Solve for x

$$x=-\frac{1}{23}\approx -0.043478261$$

Steps for Solving Linear Equation

Convert 5 to fraction \frac{40}{8}.

$$2x\left(\frac{3}{8}+\frac{40}{8}\right)=5x-\frac{2}{8}$$

Since \frac{3}{8} and \frac{40}{8} have the same denominator, add them by adding their numerators.

$$2x\times \frac{3+40}{8}=5x-\frac{2}{8}$$

Add 3 and 40 to get 43.

$$2x\times \frac{43}{8}=5x-\frac{2}{8}$$

Express 2\times \frac{43}{8} as a single fraction.

$$\frac{2\times 43}{8}x=5x-\frac{2}{8}$$

Multiply 2 and 43 to get 86.

$$\frac{86}{8}x=5x-\frac{2}{8}$$

Reduce the fraction \frac{86}{8} to lowest terms by extracting and canceling out 2.

$$\frac{43}{4}x=5x-\frac{2}{8}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{43}{4}x=5x-\frac{1}{4}$$

Subtract 5x from both sides.

$$\frac{43}{4}x-5x=-\frac{1}{4}$$

Combine \frac{43}{4}x and -5x to get \frac{23}{4}x.

$$\frac{23}{4}x=-\frac{1}{4}$$

Multiply both sides by \frac{4}{23}, the reciprocal of \frac{23}{4}.

$$x=-\frac{1}{4}\times \frac{4}{23}$$

Multiply -\frac{1}{4} times \frac{4}{23} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-4}{4\times 23}$$

Cancel out 4 in both numerator and denominator.

$$x=\frac{-1}{23}$$

Fraction \frac{-1}{23} can be rewritten as -\frac{1}{23} by extracting the negative sign.

$$x=-\frac{1}{23}$$