Solve 5left(2x-1right)-2(2x)=10

$$5 \left( 2x-1 \right) -2(2x) = 10$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 2x-1.

$$10x-5-2\times 2x=10$$

Multiply 2 and 2 to get 4.

$$10x-5-4x=10$$

Combine 10x and -4x to get 6x.

$$6x-5=10$$

Add 5 to both sides.

$$6x=10+5$$

Add 10 and 5 to get 15.

$$6x=15$$

Divide both sides by 6.

$$x=\frac{15}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$x=\frac{5}{2}$$