Solve 11/21x-(15x-2)=4(x-3

$$\frac { 11 } { 21 } x - ( 15 x - 2 ) = 4 ( x - 3$$

Solve for x

$$x=\frac{147}{194}\approx 0.757731959$$

Steps for Solving Linear Equation

To find the opposite of 15x-2, find the opposite of each term.

$$\frac{11}{21}x-15x-\left(-2\right)=4\left(x-3\right)$$

The opposite of -2 is 2.

$$\frac{11}{21}x-15x+2=4\left(x-3\right)$$

Combine \frac{11}{21}x and -15x to get -\frac{304}{21}x.

$$-\frac{304}{21}x+2=4\left(x-3\right)$$

Use the distributive property to multiply 4 by x-3.

$$-\frac{304}{21}x+2=4x-12$$

Subtract 4x from both sides.

$$-\frac{304}{21}x+2-4x=-12$$

Combine -\frac{304}{21}x and -4x to get -\frac{388}{21}x.

$$-\frac{388}{21}x+2=-12$$

Subtract 2 from both sides.

$$-\frac{388}{21}x=-12-2$$

Subtract 2 from -12 to get -14.

$$-\frac{388}{21}x=-14$$

Multiply both sides by -\frac{21}{388}, the reciprocal of -\frac{388}{21}.

$$x=-14\left(-\frac{21}{388}\right)$$

Express -14\left(-\frac{21}{388}\right) as a single fraction.

$$x=\frac{-14\left(-21\right)}{388}$$

Multiply -14 and -21 to get 294.

$$x=\frac{294}{388}$$

Reduce the fraction \frac{294}{388} to lowest terms by extracting and canceling out 2.

$$x=\frac{147}{194}$$