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

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

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x+1.

$$8x+4=3\left(x-3\right)-7$$

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

$$8x+4=3x-9-7$$

Subtract 7 from -9 to get -16.

$$8x+4=3x-16$$

Subtract 3x from both sides.

$$8x+4-3x=-16$$

Combine 8x and -3x to get 5x.

$$5x+4=-16$$

Subtract 4 from both sides.

$$5x=-16-4$$

Subtract 4 from -16 to get -20.

$$5x=-20$$

Divide both sides by 5.

$$x=\frac{-20}{5}$$

Divide -20 by 5 to get -4.

$$x=-4$$