Simplify the expression: - 0.5 (-4x+2.2) - 2 (1.5x - 0.05)

The problem to solve is:

-0.5 (-4x+2.2) - 2 (1.5x - 0.05)

Because of the minus sign

0.5 becomes - 0.5

The answer is - 0.5

Multiply x and 4

Multiply x and 1

The x just gets copied along.

The answer is x

x

4*x evaluates to 4x

Because of the minus sign

4x becomes - 4x

The answer is - 4x

-4*x+2.2 evaluates to - 4x+2.2

Multiply - 0.5 by - 4x+2.2

we multiply - 0.5 by each term in - 4x+2.2 term by term.

This is the distributive property of multiplication.

Multiply - 0.5 and - 4x

Multiply 1 and x

The x just gets copied along.

x

-0.5 * - 4x = 2x

Multiply - 0.5 and 2.2

1

-0.5 * 2.2 = - 1.1

-0.5 * (-4*x+2.2) evaluates to 2x-1.1

Multiply x and 1.5

Multiply x and 1

The x just gets copied along.

The answer is x

x

1.5*x evaluates to 1.5x

1.5*x-0.05 evaluates to 1.5x-0.05

Multiply 2 by 1.5x-0.05

we multiply 2 by each term in 1.5x-0.05 term by term.

This is the distributive property of multiplication.

Multiply 2 and 1.5x

Multiply 1 and x

The x just gets copied along.

x

2 * 1.5x = 3x

Multiply 2 and - 0.05

1

2 * - 0.05 = - 0.1

2 * (1.5*x-0.05) evaluates to 3x-0.1

To subtract the polynomials 2x-1.1 and 3x-0.1 we try to subtract terms in one polynomialwith any like terms in the other polynomial.

Be very careful with the "-" sign in front of 3x-0.1 it is to be used on all terms in it.

2x - 3x = - x

-1.1 - - 0.1 = - 1

The answer is - x-1

-0.5 * (-4*x+2.2) - 2 * (1.5*x-0.05) evaluates to - x-1

The final answer is

-x-1