Solve 4left(3x+5right)-14=2left(x-7right)

$$4 \left( 3x+5 \right) -14 = 2 \left( x-7 \right)$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 3x+5.

$$12x+20-14=2\left(x-7\right)$$

Subtract 14 from 20 to get 6.

$$12x+6=2\left(x-7\right)$$

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

$$12x+6=2x-14$$

Subtract 2x from both sides.

$$12x+6-2x=-14$$

Combine 12x and -2x to get 10x.

$$10x+6=-14$$

Subtract 6 from both sides.

$$10x=-14-6$$

Subtract 6 from -14 to get -20.

$$10x=-20$$

Divide both sides by 10.

$$x=\frac{-20}{10}$$

Divide -20 by 10 to get -2.

$$x=-2$$