Solve 3.3x-1.7+2.7x-4.6=7.4-1.5x

$$3.3x-1.7+2.7x-4.6 = 7.4-1.5x$$

Solve for x

$$x = \frac{137}{75} = 1\frac{62}{75} \approx 1.826666667$$

Steps for Solving Linear Equation

Combine 3.3x and 2.7x to get 6x.

$$6x-1.7-4.6=7.4-1.5x$$

Subtract 4.6 from -1.7 to get -6.3.

$$6x-6.3=7.4-1.5x$$

Add 1.5x to both sides.

$$6x-6.3+1.5x=7.4$$

Combine 6x and 1.5x to get 7.5x.

$$7.5x-6.3=7.4$$

Add 6.3 to both sides.

$$7.5x=7.4+6.3$$

Add 7.4 and 6.3 to get 13.7.

$$7.5x=13.7$$

Divide both sides by 7.5.

$$x=\frac{13.7}{7.5}$$

Expand \frac{13.7}{7.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{137}{75}$$