Solve 63:x-2=-51/3*3-4

$$63 : x - 2 = - 5 \frac { 1 } { 3 } \cdot 3 - 4$$

Solve for x

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of x,3.

$$3\times 63+3x\left(-2\right)=\left(-\frac{5\times 3+1}{3}\right)\times 3\times 3x+3x\left(-4\right)$$

Multiply 3 and 63 to get 189.

$$189+3x\left(-2\right)=\left(-\frac{5\times 3+1}{3}\right)\times 3\times 3x+3x\left(-4\right)$$

Multiply 3 and -2 to get -6.

$$189-6x=\left(-\frac{5\times 3+1}{3}\right)\times 3\times 3x+3x\left(-4\right)$$

Multiply 5 and 3 to get 15.

$$189-6x=\left(-\frac{15+1}{3}\right)\times 3\times 3x+3x\left(-4\right)$$

Add 15 and 1 to get 16.

$$189-6x=-\frac{16}{3}\times 3\times 3x+3x\left(-4\right)$$

Cancel out 3 and 3.

$$189-6x=-16\times 3x+3x\left(-4\right)$$

Multiply -16 and 3 to get -48.

$$189-6x=-48x+3x\left(-4\right)$$

Multiply 3 and -4 to get -12.

$$189-6x=-48x-12x$$

Combine -48x and -12x to get -60x.

$$189-6x=-60x$$

Add 60x to both sides.

$$189-6x+60x=0$$

Combine -6x and 60x to get 54x.

$$189+54x=0$$

Subtract 189 from both sides. Anything subtracted from zero gives its negation.

$$54x=-189$$

Divide both sides by 54.

$$x=\frac{-189}{54}$$

Reduce the fraction \frac{-189}{54} to lowest terms by extracting and canceling out 27.

$$x=-\frac{7}{2}$$