Solve 2x+8/3=7x-37

$$\frac { 2 x + 8 } { 3 } = 7 x - 37$$

Solve for x

$$x = \frac{119}{19} = 6\frac{5}{19} \approx 6.263157895$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$2x+8=21x-111$$

Subtract 21x from both sides.

$$2x+8-21x=-111$$

Combine 2x and -21x to get -19x.

$$-19x+8=-111$$

Subtract 8 from both sides.

$$-19x=-111-8$$

Subtract 8 from -111 to get -119.

$$-19x=-119$$

Divide both sides by -19.

$$x=\frac{-119}{-19}$$

Fraction \frac{-119}{-19} can be simplified to \frac{119}{19} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{119}{19}$$