2(x+5)+9=21-5(x-1)

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Solution for 2(x+5)+9=21-5(x-1) equation:


Simplifying
2(x + 5) + 9 = 21 + -5(x + -1)

Reorder the terms:
2(5 + x) + 9 = 21 + -5(x + -1)
(5 * 2 + x * 2) + 9 = 21 + -5(x + -1)
(10 + 2x) + 9 = 21 + -5(x + -1)

Reorder the terms:
10 + 9 + 2x = 21 + -5(x + -1)

Combine like terms: 10 + 9 = 19
19 + 2x = 21 + -5(x + -1)

Reorder the terms:
19 + 2x = 21 + -5(-1 + x)
19 + 2x = 21 + (-1 * -5 + x * -5)
19 + 2x = 21 + (5 + -5x)

Combine like terms: 21 + 5 = 26
19 + 2x = 26 + -5x

Solving
19 + 2x = 26 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
19 + 2x + 5x = 26 + -5x + 5x

Combine like terms: 2x + 5x = 7x
19 + 7x = 26 + -5x + 5x

Combine like terms: -5x + 5x = 0
19 + 7x = 26 + 0
19 + 7x = 26

Add '-19' to each side of the equation.
19 + -19 + 7x = 26 + -19

Combine like terms: 19 + -19 = 0
0 + 7x = 26 + -19
7x = 26 + -19

Combine like terms: 26 + -19 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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