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6 of 50
iolve the following equation for 
x.

2(3x-4)-2x+2=22
A B
B 4
C 3.5

◻ 7
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66 of 5050\newlineiolve the following equation for x x .\newline2(3x4)2x+2=22 2(3 x-4)-2 x+2=22 \newlineA B\newlineB 44\newlineC 33.55\newline \square 77\newlineLeaming 20242024, All Rights Reserved.\newlineTerms\newlinePrivacy\newlinePHONE 11.877877.377377.95379537\newlineFax 18778160808 1-877-816-0808 \newlineBlog

Full solution

Q. 66 of 5050\newlineiolve the following equation for x x .\newline2(3x4)2x+2=22 2(3 x-4)-2 x+2=22 \newlineA B\newlineB 44\newlineC 33.55\newline \square 77\newlineLeaming 20242024, All Rights Reserved.\newlineTerms\newlinePrivacy\newlinePHONE 11.877877.377377.95379537\newlineFax 18778160808 1-877-816-0808 \newlineBlog
  1. Distribute and Simplify: First, distribute the 22 into the parentheses: 2×3x2 \times 3x gives 6x6x, and 2×42 \times -4 gives 8-8. So the equation becomes 6x82x+2=226x - 8 - 2x + 2 = 22.
  2. Combine Like Terms: Combine like terms: 6x2x6x - 2x becomes 4x4x, and 8+2-8 + 2 becomes 6-6. So now we have 4x6=224x - 6 = 22.
  3. Isolate x Term: Add 66 to both sides to isolate the term with xx: 4x6+6=22+64x - 6 + 6 = 22 + 6. This simplifies to 4x=284x = 28.
  4. Solve for x: Divide both sides by 44 to solve for x: 4x4=284\frac{4x}{4} = \frac{28}{4}. This gives us x=7x = 7.

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