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What is the solution of -2 丨 x - 5 丨 + 7 = 19

please include the work!!

User Evilsanta
by
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1 Answer

3 votes

Answer:

x = -1

Explanation:

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

-2*(x-5)+7-(19)=0

Step by step solution

Equation at the end of step 1

((0 - 2 • (x - 5)) + 7) - 19 = 0

Pulling out like terms

3.1 Pull out like factors :

-2x - 2 = -2 • (x + 1)

Equation at the end of step

3

-2 • (x + 1) = 0

STEP

4

Equations which are never true

4.1 Solve : -2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2 Solve : x+1 = 0

Subtract 1 from both sides of the equation :

x = -1

User Vijay Angelo
by
4.4k points