Solve 47-7(3x-1)=5(1+2x)

$$47 - 7 ( 3 x - 1 ) = 5 ( 1 + 2 x )$$

Solve for x

$$x = \frac{49}{31} = 1\frac{18}{31} \approx 1.580645161$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by 3x-1.

$$47-21x+7=5\left(1+2x\right)$$

Add 47 and 7 to get 54.

$$54-21x=5\left(1+2x\right)$$

Use the distributive property to multiply 5 by 1+2x.

$$54-21x=5+10x$$

Subtract 10x from both sides.

$$54-21x-10x=5$$

Combine -21x and -10x to get -31x.

$$54-31x=5$$

Subtract 54 from both sides.

$$-31x=5-54$$

Subtract 54 from 5 to get -49.

$$-31x=-49$$

Divide both sides by -31.

$$x=\frac{-49}{-31}$$

Fraction \frac{-49}{-31} can be simplified to \frac{49}{31} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{49}{31}$$