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

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

Solve for x

$$x = \frac{30}{29} = 1\frac{1}{29} \approx 1.034482759$$

Steps for Solving Linear Equation

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

$$7x+21=3\left(12x-3\right)$$

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

$$7x+21=36x-9$$

Subtract 36x from both sides.

$$7x+21-36x=-9$$

Combine 7x and -36x to get -29x.

$$-29x+21=-9$$

Subtract 21 from both sides.

$$-29x=-9-21$$

Subtract 21 from -9 to get -30.

$$-29x=-30$$

Divide both sides by -29.

$$x=\frac{-30}{-29}$$

Fraction \frac{-30}{-29} can be simplified to \frac{30}{29} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{30}{29}$$