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satela [25.4K]
3 years ago
10

25- (3x + 5) = 2(x+8) + x how do you do it step by step?

Mathematics
1 answer:
NemiM [27]3 years ago
7 0

Answer:

Simplifying

25 + -1(3x + 5) = 2(x + 8) + x

Reorder the terms:

25 + -1(5 + 3x) = 2(x + 8) + x

25 + (5 * -1 + 3x * -1) = 2(x + 8) + x

25 + (-5 + -3x) = 2(x + 8) + x

Combine like terms: 25 + -5 = 20

20 + -3x = 2(x + 8) + x

Reorder the terms:

20 + -3x = 2(8 + x) + x

20 + -3x = (8 * 2 + x * 2) + x

20 + -3x = (16 + 2x) + x

Combine like terms: 2x + x = 3x

20 + -3x = 16 + 3x

Solving

20 + -3x = 16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.

20 + -3x + -3x = 16 + 3x + -3x

Combine like terms: -3x + -3x = -6x

20 + -6x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0

20 + -6x = 16 + 0

20 + -6x = 16

Add '-20' to each side of the equation.

20 + -20 + -6x = 16 + -20

Combine like terms: 20 + -20 = 0

0 + -6x = 16 + -20

-6x = 16 + -20

Combine like terms: 16 + -20 = -4

-6x = -4

Divide each side by '-6'.

x = 0.6666666667

Simplifying

x = 0.6666666667

Step-by-step explanation:

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