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

Question

Mathematics

Saul Collier

11 January, 07:33

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

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Answers (1)

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Sydney Wells · Answer 1

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