Solve 4(x-7)=3(2x+1)-5

$$4 ( x - 7 ) = 3 ( 2 x + 1 ) - 5$$

Solve for x

$$x=-13$$

Steps for Solving Linear Equation

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

$$4x-28=3\left(2x+1\right)-5$$

Use the distributive property to multiply 3 by 2x+1.

$$4x-28=6x+3-5$$

Subtract 5 from 3 to get -2.

$$4x-28=6x-2$$

Subtract 6x from both sides.

$$4x-28-6x=-2$$

Combine 4x and -6x to get -2x.

$$-2x-28=-2$$

Add 28 to both sides.

$$-2x=-2+28$$

Add -2 and 28 to get 26.

$$-2x=26$$

Divide both sides by -2.

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

Divide 26 by -2 to get -13.

$$x=-13$$