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Fed [463]
3 years ago
10

What value of x makes this equation true? 0.6x − 5 = 0.1x + 7

Mathematics
2 answers:
Natali5045456 [20]3 years ago
6 0

Answer: x=24

Step-by-step explanation:Simplifying

0.6x + -5 = 0.1x + 7

Reorder the terms:

-5 + 0.6x = 0.1x + 7

Reorder the terms:

-5 + 0.6x = 7 + 0.1x

Solving

-5 + 0.6x = 7 + 0.1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.1x' to each side of the equation.

-5 + 0.6x + -0.1x = 7 + 0.1x + -0.1x

Combine like terms: 0.6x + -0.1x = 0.5x

-5 + 0.5x = 7 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0

-5 + 0.5x = 7 + 0.0

-5 + 0.5x = 7

Add '5' to each side of the equation.

-5 + 5 + 0.5x = 7 + 5

Combine like terms: -5 + 5 = 0

0 + 0.5x = 7 + 5

0.5x = 7 + 5

Combine like terms: 7 + 5 = 12

0.5x = 12

Divide each side by '0.5'.

x = 24

Simplifying

x = 24

photoshop1234 [79]3 years ago
4 0

Answer:

Step-by-step explanation:

0.6x − 5 = 0.1x + 7

.6x-.1x=.5x

.5x -5 = 7

7 + 5 = 12

.5x = 12

12/.5 = 24

x = 24

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