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

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


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

Reorder the terms:
2(9 + 4x) = 5(x + -4)
(9 * 2 + 4x * 2) = 5(x + -4)
(18 + 8x) = 5(x + -4)

Reorder the terms:
18 + 8x = 5(-4 + x)
18 + 8x = (-4 * 5 + x * 5)
18 + 8x = (-20 + 5x)

Solving
18 + 8x = -20 + 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.
18 + 8x + -5x = -20 + 5x + -5x

Combine like terms: 8x + -5x = 3x
18 + 3x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 3x = -20 + 0
18 + 3x = -20

Add '-18' to each side of the equation.
18 + -18 + 3x = -20 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = -20 + -18
3x = -20 + -18

Combine like terms: -20 + -18 = -38
3x = -38

Divide each side by '3'.
x = -12.66666667

Simplifying
x = -12.66666667

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