Question

3/4x+2/5=4x-1/4x
solve plz
show work

Answer 1

x=− 19/2 -9.500

Explanation:

• step one
• Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3/4*x+5-(1/4+1/4*x)=0

• simplify 1/4

3 1 1

((—•x)+5)-(—+(—•x)) = 0

4 4 4

• end of step one
• step 2 is to repeat the same thing as step one answer is also same as step one
• step 3

3.1 Adding fractions which have a common denominator

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

1 + x x + 1

————— = —————

4 4

3 (x + 1)

• ((— • x) + 5) - ——————— = 0

4 4

• send of step 3

• step 4
• 3
• Simplify —

4

• 3 (x + 1)
• ((— • x) + 5) - ——————— = 0
• 4 4
• 5.1 Adding a whole to a fraction
• Rewrite the whole as a fraction using 4 as the denominator :
• 5 5 • 4
• 5 = — = —————
• 1 4
• 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
• 5.2 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:
• 3x + 5 • 4 3x + 20
• —————————— = ———————
• 4 4

• (3x + 20) (x + 1)
• ————————— - ——————— = 0
• 4 4
• 6.1 Adding fractions which have a common denominator
• Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
• (3x+20) - ((x+1)) 2x + 19
• ————————————————— = ———————
• 4 4

• 2x + 19
• ——————— = 0
• 4

• 7.1 When a fraction equals zero ...
• Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
• Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
• Here's how:
• 2x+19
• ————— • 4 = 0 • 4
• 4
• Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
• The equation now takes the shape :
• 2x+19 = 0

• 7.2 Solve : 2x+19 = 0
• Subtract 19 from both sides of the equation :
• 2x = -19
• Divide both sides of the equation by 2:
• x = -19/2 = -9.500