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

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x+5.

$$8x+20=3\left(5x+2\right)$$

Use the distributive property to multiply 3 by 5x+2.

$$8x+20=15x+6$$

Subtract 15x from both sides.

$$8x+20-15x=6$$

Combine 8x and -15x to get -7x.

$$-7x+20=6$$

Subtract 20 from both sides.

$$-7x=6-20$$

Subtract 20 from 6 to get -14.

$$-7x=-14$$

Divide both sides by -7.

$$x=\frac{-14}{-7}$$

Divide -14 by -7 to get 2.

$$x=2$$