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4 years ago

Simplify and solve for x. 5(x+20)= 7x+30

Mathematics

2 answers:

hodyreva [135]4 years ago

6 0

Answer:

x = 35

Step-by-step explanation:

Solve for x:

5 (x + 20) = 7 x + 30

Expand out terms of the left hand side:

5 x + 100 = 7 x + 30

Subtract 7 x from both sides:

(5 x - 7 x) + 100 = (7 x - 7 x) + 30

5 x - 7 x = -2 x:

-2 x + 100 = (7 x - 7 x) + 30

7 x - 7 x = 0:

100 - 2 x = 30

Subtract 100 from both sides:

(100 - 100) - 2 x = 30 - 100

100 - 100 = 0:

-2 x = 30 - 100

30 - 100 = -70:

-2 x = -70

Divide both sides of -2 x = -70 by -2:

(-2 x)/(-2) = (-70)/(-2)

(-2)/(-2) = 1:

x = (-70)/(-2)

The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:

Answer: x = 35

valkas [14]4 years ago

4 0

Answer:

x = 35

Step-by-step explanation:

5(x+20)= 7x+30

5x + 100 = 7x + 30

-30 -30

5x + 70 = 7x

-5x -5x

70 = 2x

/2 /2

35 = x

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The plot can be seen in the graph attached with the answer.

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Simplify and solve for x. ​ ​ 5(x+20)= 7x+30

Simplify and solve for x. 5(x+20)= 7x+30