Solve 9+4x/-3=3x+1/7

$$\frac { 9 + 4 x } { - 3 } = \frac { 3 x + 1 } { 7 }$$

Solve for x

$$x = -\frac{66}{37} = -1\frac{29}{37} \approx -1.783783784$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of -3,7.

$$-7\left(9+4x\right)=3\left(3x+1\right)$$

Use the distributive property to multiply -7 by 9+4x.

$$-63-28x=3\left(3x+1\right)$$

Use the distributive property to multiply 3 by 3x+1.

$$-63-28x=9x+3$$

Subtract 9x from both sides.

$$-63-28x-9x=3$$

Combine -28x and -9x to get -37x.

$$-63-37x=3$$

Add 63 to both sides.

$$-37x=3+63$$

Add 3 and 63 to get 66.

$$-37x=66$$

Divide both sides by -37.

$$x=\frac{66}{-37}$$

Fraction \frac{66}{-37} can be rewritten as -\frac{66}{37} by extracting the negative sign.

$$x=-\frac{66}{37}$$