How do you solve #5( x + 7) - 8x = 20#?

2 Answers
May 1, 2018

#x = 5#

Explanation:

#5(x+7) - 8x = 20#

First, use the distributive property to expand #5(x+7)#:
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#5 * x + 5 * 7 = 5x + 35#

Put this back into the equation:
#5x + 35 - 8x = 20#

Combine #color(red)(5x)# and #color(red)(-8x)#:
#-3x + 35 = 20#

Subtract #color(red)(35)# from both sides of the equation:
#-3x + 35 quadcolor(red)(-quad35) = 20 quadcolor(red)(-quad35)#

#-3x = -15#

Divide both sides by #-3#:
#(-3x)/color(red)(-3) = (-15)/color(red)(-3)#

So the final answer is:
#x = 5#

Hope this helps!

the value of #x=5#

Explanation:

given #5(x+7)-8x=20rArr5x+35-8x=20rArr#
#-3x=-15rArrx=5#