Solve -(x+1)+2(3-5x)=2-11

$$- ( x + 1 ) + 2 ( 3 - 5 x ) = 2 - 11$$

Solve for x

$$x = \frac{14}{11} = 1\frac{3}{11} \approx 1.272727273$$

Steps for Solving Linear Equation

To find the opposite of x+1, find the opposite of each term.

$$-x-1+2\left(3-5x\right)=2-11$$

Use the distributive property to multiply 2 by 3-5x.

$$-x-1+6-10x=2-11$$

Add -1 and 6 to get 5.

$$-x+5-10x=2-11$$

Combine -x and -10x to get -11x.

$$-11x+5=2-11$$

Subtract 11 from 2 to get -9.

$$-11x+5=-9$$

Subtract 5 from both sides.

$$-11x=-9-5$$

Subtract 5 from -9 to get -14.

$$-11x=-14$$

Divide both sides by -11.

$$x=\frac{-14}{-11}$$

Fraction \frac{-14}{-11} can be simplified to \frac{14}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{14}{11}$$