Solve 1.5x-0.7=0.6(3-5x)

$$1.5 x - 0.7 = 0.6 ( 3 - 5 x )$$

Solve for x

$$x=\frac{5}{9}\approx 0.555555556$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.6 by 3-5x.

$$1.5x-0.7=1.8-3x$$

Add 3x to both sides.

$$1.5x-0.7+3x=1.8$$

Combine 1.5x and 3x to get 4.5x.

$$4.5x-0.7=1.8$$

Add 0.7 to both sides.

$$4.5x=1.8+0.7$$

Add 1.8 and 0.7 to get 2.5.

$$4.5x=2.5$$

Divide both sides by 4.5.

$$x=\frac{2.5}{4.5}$$

Expand \frac{2.5}{4.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{25}{45}$$

Reduce the fraction \frac{25}{45} to lowest terms by extracting and canceling out 5.

$$x=\frac{5}{9}$$