Solve 5(4x-5)=23-4(3x-4)

$$5 ( 4 x - 5 ) = 23 - 4 ( 3 x - 4 )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 4x-5.

$$20x-25=23-4\left(3x-4\right)$$

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

$$20x-25=23-12x+16$$

Add 23 and 16 to get 39.

$$20x-25=39-12x$$

Add 12x to both sides.

$$20x-25+12x=39$$

Combine 20x and 12x to get 32x.

$$32x-25=39$$

Add 25 to both sides.

$$32x=39+25$$

Add 39 and 25 to get 64.

$$32x=64$$

Divide both sides by 32.

$$x=\frac{64}{32}$$

Divide 64 by 32 to get 2.

$$x=2$$