Solve -x+5/10=3x-10/45

$$- \frac { x + 5 } { 10 } = \frac { 3 x - 10 } { 45 }$$

Solve for x

$$x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 90, the least common multiple of 10,45.

$$-9\left(x+5\right)=2\left(3x-10\right)$$

Use the distributive property to multiply -9 by x+5.

$$-9x-45=2\left(3x-10\right)$$

Use the distributive property to multiply 2 by 3x-10.

$$-9x-45=6x-20$$

Subtract 6x from both sides.

$$-9x-45-6x=-20$$

Combine -9x and -6x to get -15x.

$$-15x-45=-20$$

Add 45 to both sides.

$$-15x=-20+45$$

Add -20 and 45 to get 25.

$$-15x=25$$

Divide both sides by -15.

$$x=\frac{25}{-15}$$

Reduce the fraction \frac{25}{-15} to lowest terms by extracting and canceling out 5.

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