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Luba_88 [7]
3 years ago
10

5^-x +7=2x+4 solution

Mathematics
1 answer:
vodomira [7]3 years ago
4 0

Simplifying

5x + 7 = 2x + 4

Reorder the terms:

7 + 5x = 2x + 4

Reorder the terms:

7 + 5x = 4 + 2x

Solving

7 + 5x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.

7 + 5x + -2x = 4 + 2x + -2x

Combine like terms: 5x + -2x = 3x

7 + 3x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0

7 + 3x = 4 + 0

7 + 3x = 4

Add '-7' to each side of the equation.

7 + -7 + 3x = 4 + -7

Combine like terms: 7 + -7 = 0

0 + 3x = 4 + -7

3x = 4 + -7

Combine like terms: 4 + -7 = -3

3x = -3

Divide each side by '3'.

x = -1

Simplifying

x = -1

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