3(2x+9)=4(x+5)

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Solution for 3(2x+9)=4(x+5) equation:


Simplifying
3(2x + 9) = 4(x + 5)

Reorder the terms:
3(9 + 2x) = 4(x + 5)
(9 * 3 + 2x * 3) = 4(x + 5)
(27 + 6x) = 4(x + 5)

Reorder the terms:
27 + 6x = 4(5 + x)
27 + 6x = (5 * 4 + x * 4)
27 + 6x = (20 + 4x)

Solving
27 + 6x = 20 + 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.
27 + 6x + -4x = 20 + 4x + -4x

Combine like terms: 6x + -4x = 2x
27 + 2x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
27 + 2x = 20 + 0
27 + 2x = 20

Add '-27' to each side of the equation.
27 + -27 + 2x = 20 + -27

Combine like terms: 27 + -27 = 0
0 + 2x = 20 + -27
2x = 20 + -27

Combine like terms: 20 + -27 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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