How many solutions does this equation have?
4(1/2x-2)=2x-8

hope this helps

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*(1/2*x-2)-(2*x-8)=0

STEP

1

:

1

Simplify —

2

Equation at the end of step

1

:

1

(4 • ((— • x) - 2)) - (2x - 8) = 0

2

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 2 as the denominator :

2 2 • 2

2 = — = —————

1 2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (2 • 2) x - 4

——————————— = —————

2 2

Equation at the end of step

2

:

(x - 4)

(4 • ———————) - (2x - 8) = 0

2

STEP

3

:

Equation at the end of step

3

:

2 • (x - 4) - (2x - 8) = 0

STEP

4

:

Equation at the end of step

4

:

0 = 0

STEP

5

:

Equations which are always true:

5.1 Solve 0 = 0This equation is a tautology (Something which is always true)

29 is the correct answer

step-by-step explanation: