Solve 3x=5-1--15/7+1/7x

$$3 x = 5 - 1 - \frac { - 15 } { 7 } + \frac { 1 } { 7 } x$$

Solve for x

$$x = \frac{43}{20} = 2\frac{3}{20} = 2.15$$

Steps for Solving Linear Equation

Subtract 1 from 5 to get 4.

$$3x=4-\frac{-15}{7}+\frac{1}{7}x$$

Fraction \frac{-15}{7} can be rewritten as -\frac{15}{7} by extracting the negative sign.

$$3x=4-\left(-\frac{15}{7}\right)+\frac{1}{7}x$$

The opposite of -\frac{15}{7} is \frac{15}{7}.

$$3x=4+\frac{15}{7}+\frac{1}{7}x$$

Convert 4 to fraction \frac{28}{7}.

$$3x=\frac{28}{7}+\frac{15}{7}+\frac{1}{7}x$$

Since \frac{28}{7} and \frac{15}{7} have the same denominator, add them by adding their numerators.

$$3x=\frac{28+15}{7}+\frac{1}{7}x$$

Add 28 and 15 to get 43.

$$3x=\frac{43}{7}+\frac{1}{7}x$$

Subtract \frac{1}{7}x from both sides.

$$3x-\frac{1}{7}x=\frac{43}{7}$$

Combine 3x and -\frac{1}{7}x to get \frac{20}{7}x.

$$\frac{20}{7}x=\frac{43}{7}$$

Multiply both sides by \frac{7}{20}, the reciprocal of \frac{20}{7}.

$$x=\frac{43}{7}\times \frac{7}{20}$$

Multiply \frac{43}{7} times \frac{7}{20} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{43\times 7}{7\times 20}$$

Cancel out 7 in both numerator and denominator.

$$x=\frac{43}{20}$$