Solve 1.5*2+(x-1.5)*2+(x-1.5)*3=10

$$1.5 \times 2 + ( x - 1.5 ) \times 2 + ( x - 1.5 ) \times 3 = 10$$

Solve for x

$$x=2.9$$

Steps for Solving Linear Equation

Multiply 1.5 and 2 to get 3.

$$3+\left(x-1.5\right)\times 2+\left(x-1.5\right)\times 3=10$$

Use the distributive property to multiply x-1.5 by 2.

$$3+2x-3+\left(x-1.5\right)\times 3=10$$

Subtract 3 from 3 to get 0.

$$2x+\left(x-1.5\right)\times 3=10$$

Use the distributive property to multiply x-1.5 by 3.

$$2x+3x-4.5=10$$

Combine 2x and 3x to get 5x.

$$5x-4.5=10$$

Add 4.5 to both sides.

$$5x=10+4.5$$

Add 10 and 4.5 to get 14.5.

$$5x=14.5$$

Divide both sides by 5.

$$x=\frac{14.5}{5}$$

Expand \frac{14.5}{5} by multiplying both numerator and the denominator by 10.

$$x=\frac{145}{50}$$

Reduce the fraction \frac{145}{50} to lowest terms by extracting and canceling out 5.

$$x=\frac{29}{10}$$