Question

Solve the equation step-by-step for x: -4x+3(7x+38)=199

Answer 1

Answer:

x = 5

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (-4x +  3 • (7x + 38)) -  199  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  17x - 85  =   17 • (x - 5)

Equation at the end of step  3  :

 17 • (x - 5)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    17   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

One solution was found :

                  x = 5

Answer 2

I'll teach you how to solve -4x+3(7x+38)=199

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-4x+3(7x+38)=199

Expand 3(7x+38):

-4x+21x+114=199

Add similar elements:

17x+114=199

Subtract 114 from both sides:

17x+114-114=199-114

Simplify:

17x=85

Divide both sides by 17:

17x/17 = 85/17

Simplify:

x=5

Your Answer Is x=5

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