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Algebra 2 - Solve for x

by Bob
(Los Angeles)











































Solve for x

Solve the following equation for x.

7(x - 2) = 3(x + 4)

Enter your answer in the space provided using mixed number format.

Comments for Algebra 2 - Solve for x

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Aug 26, 2013
Solve
by: Staff


Answer

Part I


7(x - 2) = 3(x + 4)

eliminate the parentheses using the distributive law

7(x - 2) = 3(x + 4)

7*x + 7*(-2) = 3*x + 3*4

7x - 14 = 3x + 12



Eliminate both sets of parentheses using the distributive law





subtract 3x from each side of the equation

7x - 14 - 3x = 3x + 12 - 3x

group like terms

7x - 3x - 14 = 3x - 3x + 12

(7x - 3x) - 14 = (3x - 3x) + 12


combine like terms

(7x - 3x) - 14 = (3x - 3x) + 12

(4x) - 14 = (0) + 12

4x - 14 = 12


 Subtract 3x from each side of the equation




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Aug 26, 2013
Solve
by: Staff


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Part II


add 14 to each side of the equation

4x - 14 + 14 = 12 + 14


group and combine like terms

4x + (- 14 + 14) = (12 + 14)

4x + 0 = 26

4x = 26



Add 14 to each side of the equation





divide each side of the equation by 4

4x = 26

4x / 4 = 26 / 4

x = 6.5



Divide each side of the equation by 4







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Aug 26, 2013
Solve
by: Staff


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Part III


the final answer

x = 6.5


Solution  7(x - 2) = 3(x + 4)









Thanks for writing.

Staff
www.solving-math-problems.com



Jul 29, 2016
help me NEW
by: Anonymous

x=12

Dec 23, 2016
how to do this problem NEW
by: Anonymous

7(x-2)=3(x+4)
first, change your subtraction into adding a negative, 7(x+-2)=3(x+4), then distribute, 7x+-14=3x+12, then get x by itself, like this, + 14 on both sides, then -3x on both sides, then your left with 4x=26, divide by 4 on each side, then you should get x=26/4 or 6.5 is you divide the fraction

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