Solve 2(x-1)/7+x+2/3=12x+2/21

$$\frac{ 2(x-1) }{ 7 } + \frac{ x+2 }{ 3 } = \frac{ 12x+2 }{ 21 }$$

Solve for x

$$x=-6$$

Steps for Solving Linear Equation

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

$$3\times 2\left(x-1\right)+7\left(x+2\right)=12x+2$$

Multiply 3 and 2 to get 6.

$$6\left(x-1\right)+7\left(x+2\right)=12x+2$$

Use the distributive property to multiply 6 by x-1.

$$6x-6+7\left(x+2\right)=12x+2$$

Use the distributive property to multiply 7 by x+2.

$$6x-6+7x+14=12x+2$$

Combine 6x and 7x to get 13x.

$$13x-6+14=12x+2$$

Add -6 and 14 to get 8.

$$13x+8=12x+2$$

Subtract 12x from both sides.

$$13x+8-12x=2$$

Combine 13x and -12x to get x.

$$x+8=2$$

Subtract 8 from both sides.

$$x=2-8$$

Subtract 8 from 2 to get -6.

$$x=-6$$