Solve -x+6/5=3x+10/4

$$- \frac { x + 6 } { 5 } = \frac { 3 x + 10 } { 4 }$$

Solve for x

$$x = -\frac{74}{19} = -3\frac{17}{19} \approx -3.894736842$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$-4\left(x+6\right)=5\left(3x+10\right)$$

Use the distributive property to multiply -4 by x+6.

$$-4x-24=5\left(3x+10\right)$$

Use the distributive property to multiply 5 by 3x+10.

$$-4x-24=15x+50$$

Subtract 15x from both sides.

$$-4x-24-15x=50$$

Combine -4x and -15x to get -19x.

$$-19x-24=50$$

Add 24 to both sides.

$$-19x=50+24$$

Add 50 and 24 to get 74.

$$-19x=74$$

Divide both sides by -19.

$$x=\frac{74}{-19}$$

Fraction \frac{74}{-19} can be rewritten as -\frac{74}{19} by extracting the negative sign.

$$x=-\frac{74}{19}$$