Solve 3x-5x=4quad2.4(x-2)=

$$3 x - 5 x = 4 \quad 2.4 ( x - 2 ) =$$

Solve for x

$$x = \frac{48}{29} = 1\frac{19}{29} \approx 1.655172414$$

Steps for Solving Linear Equation

Combine 3x and -5x to get -2x.

$$-2x=4\times 2.4\left(x-2\right)$$

Multiply 4 and 2.4 to get 9.6.

$$-2x=9.6\left(x-2\right)$$

Use the distributive property to multiply 9.6 by x-2.

$$-2x=9.6x-19.2$$

Subtract 9.6x from both sides.

$$-2x-9.6x=-19.2$$

Combine -2x and -9.6x to get -11.6x.

$$-11.6x=-19.2$$

Divide both sides by -11.6.

$$x=\frac{-19.2}{-11.6}$$

Expand \frac{-19.2}{-11.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{-192}{-116}$$

Reduce the fraction \frac{-192}{-116} to lowest terms by extracting and canceling out -4.

$$x=\frac{48}{29}$$