Solve x-(3x-4)=5x+(4x+1)

$$x - ( 3 x - 4 ) = 5 x + ( 4 x + 1 )$$

Solve for x

$$x=\frac{3}{11}\approx 0.272727273$$

Steps for Solving Linear Equation

To find the opposite of 3x-4, find the opposite of each term.

$$x-3x-\left(-4\right)=5x+4x+1$$

The opposite of -4 is 4.

$$x-3x+4=5x+4x+1$$

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

$$-2x+4=5x+4x+1$$

Combine 5x and 4x to get 9x.

$$-2x+4=9x+1$$

Subtract 9x from both sides.

$$-2x+4-9x=1$$

Combine -2x and -9x to get -11x.

$$-11x+4=1$$

Subtract 4 from both sides.

$$-11x=1-4$$

Subtract 4 from 1 to get -3.

$$-11x=-3$$

Divide both sides by -11.

$$x=\frac{-3}{-11}$$

Fraction \frac{-3}{-11} can be simplified to \frac{3}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{11}$$