Solve 4(2x-3)=8(2x+5)

$$4 ( 2 x - 3 ) = 8 ( 2 x + 5 )$$

Solve for x

$$x = -\frac{13}{2} = -6\frac{1}{2} = -6.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x-3.

$$8x-12=8\left(2x+5\right)$$

Use the distributive property to multiply 8 by 2x+5.

$$8x-12=16x+40$$

Subtract 16x from both sides.

$$8x-12-16x=40$$

Combine 8x and -16x to get -8x.

$$-8x-12=40$$

Add 12 to both sides.

$$-8x=40+12$$

Add 40 and 12 to get 52.

$$-8x=52$$

Divide both sides by -8.

$$x=\frac{52}{-8}$$

Reduce the fraction \frac{52}{-8} to lowest terms by extracting and canceling out 4.

$$x=-\frac{13}{2}$$