Solve 3-4(x-2)=3(x-14)+2

$$3 - 4 ( x - 2 ) = 3 ( x - 14 ) + 2$$

Solve for x

$$x = \frac{51}{7} = 7\frac{2}{7} \approx 7.285714286$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by x-2.

$$3-4x+8=3\left(x-14\right)+2$$

Add 3 and 8 to get 11.

$$11-4x=3\left(x-14\right)+2$$

Use the distributive property to multiply 3 by x-14.

$$11-4x=3x-42+2$$

Add -42 and 2 to get -40.

$$11-4x=3x-40$$

Subtract 3x from both sides.

$$11-4x-3x=-40$$

Combine -4x and -3x to get -7x.

$$11-7x=-40$$

Subtract 11 from both sides.

$$-7x=-40-11$$

Subtract 11 from -40 to get -51.

$$-7x=-51$$

Divide both sides by -7.

$$x=\frac{-51}{-7}$$

Fraction \frac{-51}{-7} can be simplified to \frac{51}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{51}{7}$$