5(x+5)+2=-9(x-5)-3

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Solution for 5(x+5)+2=-9(x-5)-3 equation:


Simplifying
5(x + 5) + 2 = -9(x + -5) + -3

Reorder the terms:
5(5 + x) + 2 = -9(x + -5) + -3
(5 * 5 + x * 5) + 2 = -9(x + -5) + -3
(25 + 5x) + 2 = -9(x + -5) + -3

Reorder the terms:
25 + 2 + 5x = -9(x + -5) + -3

Combine like terms: 25 + 2 = 27
27 + 5x = -9(x + -5) + -3

Reorder the terms:
27 + 5x = -9(-5 + x) + -3
27 + 5x = (-5 * -9 + x * -9) + -3
27 + 5x = (45 + -9x) + -3

Reorder the terms:
27 + 5x = 45 + -3 + -9x

Combine like terms: 45 + -3 = 42
27 + 5x = 42 + -9x

Solving
27 + 5x = 42 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
27 + 5x + 9x = 42 + -9x + 9x

Combine like terms: 5x + 9x = 14x
27 + 14x = 42 + -9x + 9x

Combine like terms: -9x + 9x = 0
27 + 14x = 42 + 0
27 + 14x = 42

Add '-27' to each side of the equation.
27 + -27 + 14x = 42 + -27

Combine like terms: 27 + -27 = 0
0 + 14x = 42 + -27
14x = 42 + -27

Combine like terms: 42 + -27 = 15
14x = 15

Divide each side by '14'.
x = 1.071428571

Simplifying
x = 1.071428571

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