Solve 3(x-3)-14=2(x-7)+8

$$3 ( x - 3 ) - 14 = 2 ( x - 7 ) + 8$$

Solve for x

$$x=17$$

Steps for Solving Linear Equation

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

$$3x-9-14=2\left(x-7\right)+8$$

Subtract 14 from -9 to get -23.

$$3x-23=2\left(x-7\right)+8$$

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

$$3x-23=2x-14+8$$

Add -14 and 8 to get -6.

$$3x-23=2x-6$$

Subtract 2x from both sides.

$$3x-23-2x=-6$$

Combine 3x and -2x to get x.

$$x-23=-6$$

Add 23 to both sides.

$$x=-6+23$$

Add -6 and 23 to get 17.

$$x=17$$