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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$-12+4x-\left(-3-5x\right)=-1+x$$

To find the opposite of -3-5x, find the opposite of each term.

$$-12+4x-\left(-3\right)-\left(-5x\right)=-1+x$$

The opposite of -3 is 3.

$$-12+4x+3-\left(-5x\right)=-1+x$$

The opposite of -5x is 5x.

$$-12+4x+3+5x=-1+x$$

Add -12 and 3 to get -9.

$$-9+4x+5x=-1+x$$

Combine 4x and 5x to get 9x.

$$-9+9x=-1+x$$

Subtract x from both sides.

$$-9+9x-x=-1$$

Combine 9x and -x to get 8x.

$$-9+8x=-1$$

Add 9 to both sides.

$$8x=-1+9$$

Add -1 and 9 to get 8.

$$8x=8$$

Divide both sides by 8.

$$x=\frac{8}{8}$$

Divide 8 by 8 to get 1.

$$x=1$$