Solve x+(-197)+(-330)=714+{(3x+96)-(3*743*2)}

$$x + ( - 197 ) + ( - 330 ) = 714 + \{ ( 3 x + 96 ) - ( 3 \times 743 \times 2 ) \}$$

Solve for x

$$x = \frac{3121}{2} = 1560\frac{1}{2} = 1560.5$$

Steps for Solving Linear Equation

Subtract 330 from -197 to get -527.

$$x-527=714+3x+96-3\times 743\times 2$$

Multiply 3 and 743 to get 2229.

$$x-527=714+3x+96-2229\times 2$$

Multiply 2229 and 2 to get 4458.

$$x-527=714+3x+96-4458$$

Subtract 4458 from 96 to get -4362.

$$x-527=714+3x-4362$$

Subtract 4362 from 714 to get -3648.

$$x-527=-3648+3x$$

Subtract 3x from both sides.

$$x-527-3x=-3648$$

Combine x and -3x to get -2x.

$$-2x-527=-3648$$

Add 527 to both sides.

$$-2x=-3648+527$$

Add -3648 and 527 to get -3121.

$$-2x=-3121$$

Divide both sides by -2.

$$x=\frac{-3121}{-2}$$

Fraction \frac{-3121}{-2} can be simplified to \frac{3121}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3121}{2}$$