Solve 2x-7+4(1-x)=2x-(x+1)

$$2 x - 7 + 4 ( 1 - x ) = 2 x - ( x + 1 )$$

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 1-x.

$$2x-7+4-4x=2x-\left(x+1\right)$$

Add -7 and 4 to get -3.

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

Combine 2x and -4x to get -2x.

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

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

$$-2x-3=2x-x-1$$

Combine 2x and -x to get x.

$$-2x-3=x-1$$

Subtract x from both sides.

$$-2x-3-x=-1$$

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

$$-3x-3=-1$$

Add 3 to both sides.

$$-3x=-1+3$$

Add -1 and 3 to get 2.

$$-3x=2$$

Divide both sides by -3.

$$x=\frac{2}{-3}$$

Fraction \frac{2}{-3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$x=-\frac{2}{3}$$