Solve 3x+2-7x+4=2x-11+3x+x

$$3 x + 2 - 7 x + 4 = 2 x - 11 + 3 x + x$$

Solve for x

$$x = \frac{17}{10} = 1\frac{7}{10} = 1.7$$

Steps for Solving Linear Equation

Combine 3x and -7x to get -4x.

$$-4x+2+4=2x-11+3x+x$$

Add 2 and 4 to get 6.

$$-4x+6=2x-11+3x+x$$

Combine 2x and 3x to get 5x.

$$-4x+6=5x-11+x$$

Combine 5x and x to get 6x.

$$-4x+6=6x-11$$

Subtract 6x from both sides.

$$-4x+6-6x=-11$$

Combine -4x and -6x to get -10x.

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

Subtract 6 from both sides.

$$-10x=-11-6$$

Subtract 6 from -11 to get -17.

$$-10x=-17$$

Divide both sides by -10.

$$x=\frac{-17}{-10}$$

Fraction \frac{-17}{-10} can be simplified to \frac{17}{10} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{17}{10}$$