Answer/Step-by-step explanation:
a. 3x + 13 = 12x - 2x
Add like terms
3x + 13 = 10x
3x = 10x - 13 (subtraction property of equality)
3x - 10x = - 13 (substraction property of equality)
-7x = -13
-7x = -13/-7 (division property of equality)
x = 13/7
b. 6j - 12 + 4j - 8 = 10
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6j + 4j - 12 - 8 = 10
10j - 20 = 10
10j = 10 + 20 (addition property of equality)
10j = 30
10j/10 = 30/10 (division property of equality)
j = 3
c. 10y - 4y = 14 + 2y - 3y
Add like terms
6y = 14 - y
6y + y = 14 (addition property of equality)
7y = 14
7y/7 = 14/7
y = 2
d. 4p + 8 - 3p = 33
Add like terms
4p - 3p + 8 = 33
p + 8 = 33
p = 33 - 8 (subtraction property of equality)
p = 25
