Solve 2(7x+10)=5(8x+9)

$$2 ( 7 x + 10 ) = 5 ( 8 x + 9 )$$

Solve for x

$$x=-\frac{25}{26}\approx -0.961538462$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 7x+10.

$$14x+20=5\left(8x+9\right)$$

Use the distributive property to multiply 5 by 8x+9.

$$14x+20=40x+45$$

Subtract 40x from both sides.

$$14x+20-40x=45$$

Combine 14x and -40x to get -26x.

$$-26x+20=45$$

Subtract 20 from both sides.

$$-26x=45-20$$

Subtract 20 from 45 to get 25.

$$-26x=25$$

Divide both sides by -26.

$$x=\frac{25}{-26}$$

Fraction \frac{25}{-26} can be rewritten as -\frac{25}{26} by extracting the negative sign.

$$x=-\frac{25}{26}$$