9(x+4)-(5x-6)=5

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Solution for 9(x+4)-(5x-6)=5 equation:


Simplifying
9(x + 4) + -1(5x + -6) = 5

Reorder the terms:
9(4 + x) + -1(5x + -6) = 5
(4 * 9 + x * 9) + -1(5x + -6) = 5
(36 + 9x) + -1(5x + -6) = 5

Reorder the terms:
36 + 9x + -1(-6 + 5x) = 5
36 + 9x + (-6 * -1 + 5x * -1) = 5
36 + 9x + (6 + -5x) = 5

Reorder the terms:
36 + 6 + 9x + -5x = 5

Combine like terms: 36 + 6 = 42
42 + 9x + -5x = 5

Combine like terms: 9x + -5x = 4x
42 + 4x = 5

Solving
42 + 4x = 5

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 4x = 5 + -42

Combine like terms: 42 + -42 = 0
0 + 4x = 5 + -42
4x = 5 + -42

Combine like terms: 5 + -42 = -37
4x = -37

Divide each side by '4'.
x = -9.25

Simplifying
x = -9.25

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