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-1/2x-(1/2x+4)+12=17x-6(3x+5/6) What value of x makes the equation true? Show your work please.

Sagot :

Answer:

No Solution

Step-by-step explanation:

Keep in mind that if the grouping isn't right, then my result will be wrong:

-1/2x-(1/2x+4)+12=17x-6(3x+5/6)

Let me just change the formatting for convenience, and then begin the calculations:

[tex]-\frac{1}{2}x-\left(\frac{1}{2}x+4\right)+12=17x-6\left(3x+\frac{5}{6}\right)\:[/tex]

[tex]-\frac{1}{2}x-\frac{1}{2}x-4+12=17x-18x-5[/tex]

[tex]-2\cdot \frac{1}{2}x-4+12=17x-18x-5[/tex]

[tex]-x-4+12=17x-18x-5[/tex]

[tex]-x+8=17x-18x-5[/tex]

[tex]-x+8=-x-5[/tex]

[tex]-x=-x-13[/tex]

[tex]0=-13[/tex]

Result: No Solution