Solve left(5x-2right)left(7x+3right)/7xleft(5x-1right)-1=0

$$\frac{ \left( 5x-2 \right) \left( 7x+3 \right) }{ 7x \left( 5x-1 \right) } -1 = 0$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 0,\frac{1}{5} since division by zero is not defined. Multiply both sides of the equation by 7x\left(5x-1\right).

$$\left(5x-2\right)\left(7x+3\right)+7x\left(5x-1\right)\left(-1\right)=0$$

Use the distributive property to multiply 5x-2 by 7x+3 and combine like terms.

$$35x^{2}+x-6+7x\left(5x-1\right)\left(-1\right)=0$$

Multiply 7 and -1 to get -7.

$$35x^{2}+x-6-7x\left(5x-1\right)=0$$

Use the distributive property to multiply -7x by 5x-1.

$$35x^{2}+x-6-35x^{2}+7x=0$$

Combine 35x^{2} and -35x^{2} to get 0.

$$x-6+7x=0$$

Combine x and 7x to get 8x.

$$8x-6=0$$

Add 6 to both sides. Anything plus zero gives itself.

$$8x=6$$

Divide both sides by 8.

$$x=\frac{6}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{3}{4}$$