Solve 3(1-2x)/5-7-2x/3=2

$$\frac { 3 ( 1 - 2 x ) } { 5 } - \frac { 7 - 2 x } { 3 } = 2$$

Solve for x

$$x=-7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\times 3\left(1-2x\right)-5\left(7-2x\right)=30$$

Multiply 3 and 3 to get 9.

$$9\left(1-2x\right)-5\left(7-2x\right)=30$$

Use the distributive property to multiply 9 by 1-2x.

$$9-18x-5\left(7-2x\right)=30$$

Use the distributive property to multiply -5 by 7-2x.

$$9-18x-35+10x=30$$

Subtract 35 from 9 to get -26.

$$-26-18x+10x=30$$

Combine -18x and 10x to get -8x.

$$-26-8x=30$$

Add 26 to both sides.

$$-8x=30+26$$

Add 30 and 26 to get 56.

$$-8x=56$$

Divide both sides by -8.

$$x=\frac{56}{-8}$$

Divide 56 by -8 to get -7.

$$x=-7$$