6(2x + 5) = 2(3x – 2)
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Explanation:

6(2x + 5) = 2(3x – 2)

[given]

6(2x) + 6(5) = 2(3x) + 2(-2)

12x + 30 = 6x – 4

[distributive property of equality; individually multiply each addend inside the parenthesis and simplify (distribute the terms) ]

12x + 30 = 6x – 4

–6x –6x

6x + 30 = -4

[subtraction property of equality; subtract both sides by 6x in order to keep the x term on the left side]

6x + 30 = -4

–30 –30

6x = -34

[subtraction property of equality; subtract both sides by 30 in order to keep the constant term on the right side]

6x = -34

÷6 ÷6

x = -34/6

[division property of equality; divide both sides by 6 to eliminate the coefficient of 6 in 6x in order to obtain the variable x]

x = -17/3

[GCF(greatest common factor); divide both sides by the greatest common factor until both numbers are prime (only divisible by 1 and itself]

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