Solve 33x-1.7+2.7x-4.6=7.4-1.5x

$$33x-1.7+2.7x-4.6 = 7.4-1.5x$$

Solve for x

$$x=\frac{137}{372}\approx 0.36827957$$

Steps for Solving Linear Equation

Combine 33x and 2.7x to get 35.7x.

$$35.7x-1.7-4.6=7.4-1.5x$$

Subtract 4.6 from -1.7 to get -6.3.

$$35.7x-6.3=7.4-1.5x$$

Add 1.5x to both sides.

$$35.7x-6.3+1.5x=7.4$$

Combine 35.7x and 1.5x to get 37.2x.

$$37.2x-6.3=7.4$$

Add 6.3 to both sides.

$$37.2x=7.4+6.3$$

Add 7.4 and 6.3 to get 13.7.

$$37.2x=13.7$$

Divide both sides by 37.2.

$$x=\frac{13.7}{37.2}$$

Expand \frac{13.7}{37.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{137}{372}$$