Distributive Property
2(2+m)=16
m=6
Simplify.
2x + 9y -10y + x - 8c
3x-y-8c
Solve:
−6𝑥 + 8 = 110
𝒙 = −17
Solve.
−12(x − 12) = −9(1 + 7x)
x=-3
What is the first step in solving a multi-step equation?
Check for parenthesis and distribute.
-2(x-3)=30
x=-12
Simplify.
2x+7+3x-2+3
5x+8
Solve.
−2𝑥 − 8 = −4
𝒙 = −2
Solve:
−16 + 5n = −7(−6 + 8n) + 3
n=1
What is the second step in solving a multi-step equation?
Check for like terms and combine.
3(2x+7)=27
x=1
Simplify.
8+2x-7+7x -2y
9x-2y+1
Solve:
−8𝑥 + 3 = −13
x=2
Solve.
−4k + 2(5k − 6) = −3k − 39
k=-3
What is the third step in solving a multi-step equation?
Check for variable on both sides - cancel out one (usually the smallest).
6(3x+5)=39
x=1/2
Simplify.
3x - y +12 - 10y + 4x
7x-11y+12
Solve.
(x+7)/2=2
x=-3
Solve.
−10n + 3(8 + 8n) = −6(n − 4)
n=0
What is the fourth step in solving a multi-step equation?
Start isolating the variable by canceling out anything ADDED or SUBTRACTED to the variable. Use INVERSE OPERATIONS to cancel.
10(5k+8)=10
k=-7/5
Simplify.
16x – 4x – 7x + 13 – 11
5x + 2
Solve.
(8+x)/6=3
x = 10
Solve:
12(2k + 11) = 12(2k + 12)
No Solution
What is the last step in solving a multi-step equation?
Clear the coefficient! Divide by the coefficient to solve.