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

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


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

Reorder the terms:
3(9 + 5x) = 4(4x + 4)
(9 * 3 + 5x * 3) = 4(4x + 4)
(27 + 15x) = 4(4x + 4)

Reorder the terms:
27 + 15x = 4(4 + 4x)
27 + 15x = (4 * 4 + 4x * 4)
27 + 15x = (16 + 16x)

Solving
27 + 15x = 16 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
27 + 15x + -16x = 16 + 16x + -16x

Combine like terms: 15x + -16x = -1x
27 + -1x = 16 + 16x + -16x

Combine like terms: 16x + -16x = 0
27 + -1x = 16 + 0
27 + -1x = 16

Add '-27' to each side of the equation.
27 + -27 + -1x = 16 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 16 + -27
-1x = 16 + -27

Combine like terms: 16 + -27 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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