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

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


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

Reorder the terms:
4(4 + 4x) = 3(5x + 9)
(4 * 4 + 4x * 4) = 3(5x + 9)
(16 + 16x) = 3(5x + 9)

Reorder the terms:
16 + 16x = 3(9 + 5x)
16 + 16x = (9 * 3 + 5x * 3)
16 + 16x = (27 + 15x)

Solving
16 + 16x = 27 + 15x

Solving for variable 'x'.

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

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

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

Combine like terms: 15x + -15x = 0
16 + 1x = 27 + 0
16 + 1x = 27

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

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

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

Divide each side by '1'.
x = 11

Simplifying
x = 11

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