Question

3/4x = 16
solve using step method​

Answer 1

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❥Simplifying -3 + -4x = 16 Solving -3 + -4x = 16

❥ Solving for variable 'x'.

❥Move all terms containing x to the left, all other terms to the right.

❥Add '3' to each side of the equation. -3 + 3 + -4x = 16 + 3

❥Combine like terms: -3 + 3 = 0 0 + -4x = 16 + 3 -4x = 16 + 3

❥Combine like terms: 16 + 3 = 19 -4x = 19

❥Divide each side by '-4'. x = -4.75

❥Simplifying x = -4.75

Answer 2

Answer:

Simplify — 4

Equation at the end of step1:

3 ((— • x) - 16) - 2 = 0 4

STEP2:Rewriting the whole as an Equivalent Fraction

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

16 16 • 4 16 = —— = —————— 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

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:

3x - (16 • 4) 3x - 64 ————————————— = ——————— 4 4

Equation at the end of step2:

(3x - 64) ————————— - 2 = 0 4

STEP3:Rewriting the whole as an Equivalent Fraction

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

2 2 • 4 2 = — = ————— 1 4

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

(3x-64) - (2 • 4) 3x - 72 ————————————————— = ——————— 4 4

STEP4:Pulling out like terms

 4.1     Pull out like factors :

   3x - 72  =   3 • (x - 24) 

Equation at the end of step4:

3 • (x - 24) ———————————— = 0 4