(2x+6)4=(x-9)5

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Solution for (2x+6)4=(x-9)5 equation:


Simplifying
(2x + 6) * 4 = (x + -9) * 5

Reorder the terms:
(6 + 2x) * 4 = (x + -9) * 5

Reorder the terms for easier multiplication:
4(6 + 2x) = (x + -9) * 5
(6 * 4 + 2x * 4) = (x + -9) * 5
(24 + 8x) = (x + -9) * 5

Reorder the terms:
24 + 8x = (-9 + x) * 5

Reorder the terms for easier multiplication:
24 + 8x = 5(-9 + x)
24 + 8x = (-9 * 5 + x * 5)
24 + 8x = (-45 + 5x)

Solving
24 + 8x = -45 + 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.
24 + 8x + -5x = -45 + 5x + -5x

Combine like terms: 8x + -5x = 3x
24 + 3x = -45 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + 3x = -45 + 0
24 + 3x = -45

Add '-24' to each side of the equation.
24 + -24 + 3x = -45 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = -45 + -24
3x = -45 + -24

Combine like terms: -45 + -24 = -69
3x = -69

Divide each side by '3'.
x = -23

Simplifying
x = -23

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