Solve 4x+2/7=3/2x

$$4 x + \frac { 2 } { 7 } = \frac { 3 } { 2 } x$$

Solve for x

$$x=-\frac{4}{35}\approx -0.114285714$$

Steps for Solving Linear Equation

Subtract \frac{3}{2}x from both sides.

$$4x+\frac{2}{7}-\frac{3}{2}x=0$$

Combine 4x and -\frac{3}{2}x to get \frac{5}{2}x.

$$\frac{5}{2}x+\frac{2}{7}=0$$

Subtract \frac{2}{7} from both sides. Anything subtracted from zero gives its negation.

$$\frac{5}{2}x=-\frac{2}{7}$$

Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.

$$x=-\frac{2}{7}\times \frac{2}{5}$$

Multiply -\frac{2}{7} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-2\times 2}{7\times 5}$$

Do the multiplications in the fraction \frac{-2\times 2}{7\times 5}.

$$x=\frac{-4}{35}$$

Fraction \frac{-4}{35} can be rewritten as -\frac{4}{35} by extracting the negative sign.

$$x=-\frac{4}{35}$$