Solve 17(x-1)=34(3x-5.6)

$$17(x-1)=34(3x-5.6)$$

Solve for x

$$x=2.04$$

Steps for Solving Linear Equation

Use the distributive property to multiply 17 by x-1.

$$17x-17=34\left(3x-5.6\right)$$

Use the distributive property to multiply 34 by 3x-5.6.

$$17x-17=102x-190.4$$

Subtract 102x from both sides.

$$17x-17-102x=-190.4$$

Combine 17x and -102x to get -85x.

$$-85x-17=-190.4$$

Add 17 to both sides.

$$-85x=-190.4+17$$

Add -190.4 and 17 to get -173.4.

$$-85x=-173.4$$

Divide both sides by -85.

$$x=\frac{-173.4}{-85}$$

Expand \frac{-173.4}{-85} by multiplying both numerator and the denominator by 10.

$$x=\frac{-1734}{-850}$$

Reduce the fraction \frac{-1734}{-850} to lowest terms by extracting and canceling out -34.

$$x=\frac{51}{25}$$