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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by 5-x.

$$35-7x=3\left(x-5\right)$$

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

$$35-7x=3x-15$$

Subtract 3x from both sides.

$$35-7x-3x=-15$$

Combine -7x and -3x to get -10x.

$$35-10x=-15$$

Subtract 35 from both sides.

$$-10x=-15-35$$

Subtract 35 from -15 to get -50.

$$-10x=-50$$

Divide both sides by -10.

$$x=\frac{-50}{-10}$$

Divide -50 by -10 to get 5.

$$x=5$$