Solve 14(52+2x)=3(45x+9)

$$14(52+2x)=3(45x+9)$$

Solve for x

$$x = \frac{701}{107} = 6\frac{59}{107} \approx 6.551401869$$

Steps for Solving Linear Equation

Use the distributive property to multiply 14 by 52+2x.

$$728+28x=3\left(45x+9\right)$$

Use the distributive property to multiply 3 by 45x+9.

$$728+28x=135x+27$$

Subtract 135x from both sides.

$$728+28x-135x=27$$

Combine 28x and -135x to get -107x.

$$728-107x=27$$

Subtract 728 from both sides.

$$-107x=27-728$$

Subtract 728 from 27 to get -701.

$$-107x=-701$$

Divide both sides by -107.

$$x=\frac{-701}{-107}$$

Fraction \frac{-701}{-107} can be simplified to \frac{701}{107} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{701}{107}$$