Solve 2(7x+8)=5(6x+9)

$$2 ( 7 x + 8 ) = 5 ( 6 x + 9 )$$

Solve for x

$$x = -\frac{29}{16} = -1\frac{13}{16} = -1.8125$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 7x+8.

$$14x+16=5\left(6x+9\right)$$

Use the distributive property to multiply 5 by 6x+9.

$$14x+16=30x+45$$

Subtract 30x from both sides.

$$14x+16-30x=45$$

Combine 14x and -30x to get -16x.

$$-16x+16=45$$

Subtract 16 from both sides.

$$-16x=45-16$$

Subtract 16 from 45 to get 29.

$$-16x=29$$

Divide both sides by -16.

$$x=\frac{29}{-16}$$

Fraction \frac{29}{-16} can be rewritten as -\frac{29}{16} by extracting the negative sign.

$$x=-\frac{29}{16}$$