Solve 3/2x-5=7x

$$\frac { 3 } { 2 } x - 5 = 7 x$$

Solve for x

$$x=-\frac{10}{11}\approx -0.909090909$$

Steps for Solving Linear Equation

Subtract 7x from both sides.

$$\frac{3}{2}x-5-7x=0$$

Combine \frac{3}{2}x and -7x to get -\frac{11}{2}x.

$$-\frac{11}{2}x-5=0$$

Add 5 to both sides. Anything plus zero gives itself.

$$-\frac{11}{2}x=5$$

Multiply both sides by -\frac{2}{11}, the reciprocal of -\frac{11}{2}.

$$x=5\left(-\frac{2}{11}\right)$$

Express 5\left(-\frac{2}{11}\right) as a single fraction.

$$x=\frac{5\left(-2\right)}{11}$$

Multiply 5 and -2 to get -10.

$$x=\frac{-10}{11}$$

Fraction \frac{-10}{11} can be rewritten as -\frac{10}{11} by extracting the negative sign.

$$x=-\frac{10}{11}$$