How do you solve #6( 7- 4x - 5x ) + 7( 7x + 3) = 18#?

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Answer 1 · 2018-01-08T21:25:05

#color(purple)(x=9)#

1) Start by multiplying the brackets:

#color(red)(6*7=42)#
#color(red)(6*-4x=-24x)#
#color(red)(6*-5x=-30x)#

2) Then multiply the other bracket:

#color(red)(7*7x=49x)#
#color(red)(7*3=21)#

3) Collect like terms for both results:

#color(blue)(-54x+42)# For the first bracket

#color(blue)(49x+21)# For the second bracket

4) Put these results back into the equation:

#color(orange)(-54x+42+49x+21=18)#

5) Collect like terms for the whole equation:

#color(orange)(-5x+63=18)#

6) Solve like an equation:

#color(green)(-5x=-45)color(green)((-63)#

#color(green)(x=-45/-5)#

Since -1*-1=+1

#therefore# #color(purple)(x=45/5=9)#