Solve 7(x-2)=3(x+4)

$$7 ( x - 2 ) = 3 ( x + 4 )$$

Solve for x

$$x = \frac{13}{2} = 6\frac{1}{2} = 6.5$$

Steps for Solving Linear Equation

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

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

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

$$7x-14=3x+12$$

Subtract 3x from both sides.

$$7x-14-3x=12$$

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

$$4x-14=12$$

Add 14 to both sides.

$$4x=12+14$$

Add 12 and 14 to get 26.

$$4x=26$$

Divide both sides by 4.

$$x=\frac{26}{4}$$

Reduce the fraction \frac{26}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{13}{2}$$