9(x+5)=4x-5

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


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

Reorder the terms:
9(5 + x) = 4x + -5
(5 * 9 + x * 9) = 4x + -5
(45 + 9x) = 4x + -5

Reorder the terms:
45 + 9x = -5 + 4x

Solving
45 + 9x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
45 + 9x + -4x = -5 + 4x + -4x

Combine like terms: 9x + -4x = 5x
45 + 5x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
45 + 5x = -5 + 0
45 + 5x = -5

Add '-45' to each side of the equation.
45 + -45 + 5x = -5 + -45

Combine like terms: 45 + -45 = 0
0 + 5x = -5 + -45
5x = -5 + -45

Combine like terms: -5 + -45 = -50
5x = -50

Divide each side by '5'.
x = -10

Simplifying
x = -10

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