Solve x-3(4-x)=7x-(1-x)

$$x - 3 ( 4 - x ) = 7 x - ( 1 - x )$$

Solve for x

$$x = -\frac{11}{4} = -2\frac{3}{4} = -2.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 4-x.

$$x-12+3x=7x-\left(1-x\right)$$

Combine x and 3x to get 4x.

$$4x-12=7x-\left(1-x\right)$$

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

$$4x-12=7x-1-\left(-x\right)$$

The opposite of -x is x.

$$4x-12=7x-1+x$$

Combine 7x and x to get 8x.

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

Subtract 8x from both sides.

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

Combine 4x and -8x to get -4x.

$$-4x-12=-1$$

Add 12 to both sides.

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

Add -1 and 12 to get 11.

$$-4x=11$$

Divide both sides by -4.

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

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

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