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

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

Solve for x

$$x = \frac{8}{5} = 1\frac{3}{5} = 1.6$$

Steps for Solving Linear Equation

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

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

Add 4 and 7 to get 11.

$$8x+11=7\left(4x-3\right)$$

Use the distributive property to multiply 7 by 4x-3.

$$8x+11=28x-21$$

Subtract 28x from both sides.

$$8x+11-28x=-21$$

Combine 8x and -28x to get -20x.

$$-20x+11=-21$$

Subtract 11 from both sides.

$$-20x=-21-11$$

Subtract 11 from -21 to get -32.

$$-20x=-32$$

Divide both sides by -20.

$$x=\frac{-32}{-20}$$

Reduce the fraction \frac{-32}{-20} to lowest terms by extracting and canceling out -4.

$$x=\frac{8}{5}$$