Solve 6(2x-5)-4(x-2)=14

$$6 ( 2 x - 5 ) - 4 ( x - 2 ) = 14$$

Solve for x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 2x-5.

$$12x-30-4\left(x-2\right)=14$$

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

$$12x-30-4x+8=14$$

Combine 12x and -4x to get 8x.

$$8x-30+8=14$$

Add -30 and 8 to get -22.

$$8x-22=14$$

Add 22 to both sides.

$$8x=14+22$$

Add 14 and 22 to get 36.

$$8x=36$$

Divide both sides by 8.

$$x=\frac{36}{8}$$

Reduce the fraction \frac{36}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{9}{2}$$