Solve 32-7(x-5)=3(x-1)

$$32 - 7 ( x - 5 ) = 3 ( x - 1 )$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

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

$$32-7x+35=3\left(x-1\right)$$

Add 32 and 35 to get 67.

$$67-7x=3\left(x-1\right)$$

Use the distributive property to multiply 3 by x-1.

$$67-7x=3x-3$$

Subtract 3x from both sides.

$$67-7x-3x=-3$$

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

$$67-10x=-3$$

Subtract 67 from both sides.

$$-10x=-3-67$$

Subtract 67 from -3 to get -70.

$$-10x=-70$$

Divide both sides by -10.

$$x=\frac{-70}{-10}$$

Divide -70 by -10 to get 7.

$$x=7$$