Solve -4/2+3x-22/5=2x-5/3-3

$$\frac { - 4 } { 2 } + \frac { 3 x - 22 } { 5 } = \frac { 2 x - 5 } { 3 } - 3$$

Solve for x

$$x=-26$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 2,5,3.

$$15\left(-4\right)+6\left(3x-22\right)=10\left(2x-5\right)-90$$

Multiply 15 and -4 to get -60.

$$-60+6\left(3x-22\right)=10\left(2x-5\right)-90$$

Use the distributive property to multiply 6 by 3x-22.

$$-60+18x-132=10\left(2x-5\right)-90$$

Subtract 132 from -60 to get -192.

$$-192+18x=10\left(2x-5\right)-90$$

Use the distributive property to multiply 10 by 2x-5.

$$-192+18x=20x-50-90$$

Subtract 90 from -50 to get -140.

$$-192+18x=20x-140$$

Subtract 20x from both sides.

$$-192+18x-20x=-140$$

Combine 18x and -20x to get -2x.

$$-192-2x=-140$$

Add 192 to both sides.

$$-2x=-140+192$$

Add -140 and 192 to get 52.

$$-2x=52$$

Divide both sides by -2.

$$x=\frac{52}{-2}$$

Divide 52 by -2 to get -26.

$$x=-26$$