Solve left(2+3xright)4-(4-x)+1-2x=1

$$\left( 2+3x \right) 4-(4-x)+1-2x = 1$$

Solve for x

$$x=-\frac{4}{11}\approx -0.363636364$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2+3x by 4.

$$8+12x-\left(4-x\right)+1-2x=1$$

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

$$8+12x-4-\left(-x\right)+1-2x=1$$

The opposite of -x is x.

$$8+12x-4+x+1-2x=1$$

Subtract 4 from 8 to get 4.

$$4+12x+x+1-2x=1$$

Combine 12x and x to get 13x.

$$4+13x+1-2x=1$$

Add 4 and 1 to get 5.

$$5+13x-2x=1$$

Combine 13x and -2x to get 11x.

$$5+11x=1$$

Subtract 5 from both sides.

$$11x=1-5$$

Subtract 5 from 1 to get -4.

$$11x=-4$$

Divide both sides by 11.

$$x=\frac{-4}{11}$$

Fraction \frac{-4}{11} can be rewritten as -\frac{4}{11} by extracting the negative sign.

$$x=-\frac{4}{11}$$