Solve 2(4x-3)=5(2x-5)

$$2 ( 4 x - 3 ) = 5 ( 2 x - 5 )$$

Solve for x

$$x = \frac{19}{2} = 9\frac{1}{2} = 9.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 4x-3.

$$8x-6=5\left(2x-5\right)$$

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

$$8x-6=10x-25$$

Subtract 10x from both sides.

$$8x-6-10x=-25$$

Combine 8x and -10x to get -2x.

$$-2x-6=-25$$

Add 6 to both sides.

$$-2x=-25+6$$

Add -25 and 6 to get -19.

$$-2x=-19$$

Divide both sides by -2.

$$x=\frac{-19}{-2}$$

Fraction \frac{-19}{-2} can be simplified to \frac{19}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{19}{2}$$