Solve 1/2x+180=6x-190

$$\frac { 1 } { 2 } x + 180 = 6 x - 190$$

Solve for x

$$x = \frac{740}{11} = 67\frac{3}{11} \approx 67.272727273$$

Steps for Solving Linear Equation

Subtract 6x from both sides.

$$\frac{1}{2}x+180-6x=-190$$

Combine \frac{1}{2}x and -6x to get -\frac{11}{2}x.

$$-\frac{11}{2}x+180=-190$$

Subtract 180 from both sides.

$$-\frac{11}{2}x=-190-180$$

Subtract 180 from -190 to get -370.

$$-\frac{11}{2}x=-370$$

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

$$x=-370\left(-\frac{2}{11}\right)$$

Express -370\left(-\frac{2}{11}\right) as a single fraction.

$$x=\frac{-370\left(-2\right)}{11}$$

Multiply -370 and -2 to get 740.

$$x=\frac{740}{11}$$