Solve 7.4(x-5)-6.5(x-5)=44

$$7.4(x-5)-6.5(x-5)=44$$

Solve for x

$$x = \frac{485}{9} = 53\frac{8}{9} \approx 53.888888889$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7.4 by x-5.

$$7.4x-37-6.5\left(x-5\right)=44$$

Use the distributive property to multiply -6.5 by x-5.

$$7.4x-37-6.5x+32.5=44$$

Combine 7.4x and -6.5x to get 0.9x.

$$0.9x-37+32.5=44$$

Add -37 and 32.5 to get -4.5.

$$0.9x-4.5=44$$

Add 4.5 to both sides.

$$0.9x=44+4.5$$

Add 44 and 4.5 to get 48.5.

$$0.9x=48.5$$

Divide both sides by 0.9.

$$x=\frac{48.5}{0.9}$$

Expand \frac{48.5}{0.9} by multiplying both numerator and the denominator by 10.

$$x=\frac{485}{9}$$