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What is the solution to the equation 36 – 5x = 5 – 6(x - 4) ?
68bpoints
2 answers:
Step-by-step explanation:
36-5x=5-6x+24
-5x+6x=24+5-36
x=29-36
x=-7
Answer:
x = -7
Explanation:
36 − 5x = 5 − 6(x − 4)
[ Simplify both sides of the equation ]
36 − 5x = 5 − 6(x − 4)
36 + −5x = 5 + (−6)(x) + (−6)(−4) [ Distribute ]
36 + −5x = 5 + −6x + 24
−5x + 36 = (−6x) + (5 + 24) [ Combine Like Terms ]
−5x + 36 = −6x + 29
−5x + 36 = −6x + 29
[ Step 2: Add 6x to both sides ]
−5x + 36 + 6x = −6x + 29 + 6x
x + 36 = 29
[ Step 3: Subtract 36 from both sides ]
x + 36 − 36 = 29 − 36
x = −7
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