Question

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

Answer 1

Answer:

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

Step-by-step explanation: