Solve (4-5x)(4x-5)=(10x-3)(7-2x)

$$(4-5x)(4x-5)=(10x-3)(7-2x)$$

Solve for x

$$x=\frac{1}{35}\approx 0.028571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4-5x by 4x-5 and combine like terms.

$$41x-20-20x^{2}=\left(10x-3\right)\left(7-2x\right)$$

Use the distributive property to multiply 10x-3 by 7-2x and combine like terms.

$$41x-20-20x^{2}=76x-20x^{2}-21$$

Subtract 76x from both sides.

$$41x-20-20x^{2}-76x=-20x^{2}-21$$

Combine 41x and -76x to get -35x.

$$-35x-20-20x^{2}=-20x^{2}-21$$

Add 20x^{2} to both sides.

$$-35x-20-20x^{2}+20x^{2}=-21$$

Combine -20x^{2} and 20x^{2} to get 0.

$$-35x-20=-21$$

Add 20 to both sides.

$$-35x=-21+20$$

Add -21 and 20 to get -1.

$$-35x=-1$$

Divide both sides by -35.

$$x=\frac{-1}{-35}$$

Fraction \frac{-1}{-35} can be simplified to \frac{1}{35} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{35}$$