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

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

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+7.

$$2x+14=5\left(3x-5\right)$$

Use the distributive property to multiply 5 by 3x-5.

$$2x+14=15x-25$$

Subtract 15x from both sides.

$$2x+14-15x=-25$$

Combine 2x and -15x to get -13x.

$$-13x+14=-25$$

Subtract 14 from both sides.

$$-13x=-25-14$$

Subtract 14 from -25 to get -39.

$$-13x=-39$$

Divide both sides by -13.

$$x=\frac{-39}{-13}$$

Divide -39 by -13 to get 3.

$$x=3$$