Solve 4(2x-7)-3(3x+1)=2-(7-x)

$$4 ( 2 x - 7 ) - 3 ( 3 x + 1 ) = 2 - ( 7 - x )$$

Solve for x

$$x=-13$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x-7.

$$8x-28-3\left(3x+1\right)=2-\left(7-x\right)$$

Use the distributive property to multiply -3 by 3x+1.

$$8x-28-9x-3=2-\left(7-x\right)$$

Combine 8x and -9x to get -x.

$$-x-28-3=2-\left(7-x\right)$$

Subtract 3 from -28 to get -31.

$$-x-31=2-\left(7-x\right)$$

To find the opposite of 7-x, find the opposite of each term.

$$-x-31=2-7-\left(-x\right)$$

The opposite of -x is x.

$$-x-31=2-7+x$$

Subtract 7 from 2 to get -5.

$$-x-31=-5+x$$

Subtract x from both sides.

$$-x-31-x=-5$$

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

$$-2x-31=-5$$

Add 31 to both sides.

$$-2x=-5+31$$

Add -5 and 31 to get 26.

$$-2x=26$$

Divide both sides by -2.

$$x=\frac{26}{-2}$$

Divide 26 by -2 to get -13.

$$x=-13$$