Solve 4x+1/3=12x-3/7

$$\frac { 4 x + 1 } { 3 } = \frac { 12 x - 3 } { 7 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$7\left(4x+1\right)=3\left(12x-3\right)$$

Use the distributive property to multiply 7 by 4x+1.

$$28x+7=3\left(12x-3\right)$$

Use the distributive property to multiply 3 by 12x-3.

$$28x+7=36x-9$$

Subtract 36x from both sides.

$$28x+7-36x=-9$$

Combine 28x and -36x to get -8x.

$$-8x+7=-9$$

Subtract 7 from both sides.

$$-8x=-9-7$$

Subtract 7 from -9 to get -16.

$$-8x=-16$$

Divide both sides by -8.

$$x=\frac{-16}{-8}$$

Divide -16 by -8 to get 2.

$$x=2$$