12(2x+3)=3(5x+11)

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Solution for 12(2x+3)=3(5x+11) equation:


Simplifying
12(2x + 3) = 3(5x + 11)

Reorder the terms:
12(3 + 2x) = 3(5x + 11)
(3 * 12 + 2x * 12) = 3(5x + 11)
(36 + 24x) = 3(5x + 11)

Reorder the terms:
36 + 24x = 3(11 + 5x)
36 + 24x = (11 * 3 + 5x * 3)
36 + 24x = (33 + 15x)

Solving
36 + 24x = 33 + 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.
36 + 24x + -15x = 33 + 15x + -15x

Combine like terms: 24x + -15x = 9x
36 + 9x = 33 + 15x + -15x

Combine like terms: 15x + -15x = 0
36 + 9x = 33 + 0
36 + 9x = 33

Add '-36' to each side of the equation.
36 + -36 + 9x = 33 + -36

Combine like terms: 36 + -36 = 0
0 + 9x = 33 + -36
9x = 33 + -36

Combine like terms: 33 + -36 = -3
9x = -3

Divide each side by '9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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