3(4x+3)=11(x-3)

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Solution for 3(4x+3)=11(x-3) equation:


Simplifying
3(4x + 3) = 11(x + -3)

Reorder the terms:
3(3 + 4x) = 11(x + -3)
(3 * 3 + 4x * 3) = 11(x + -3)
(9 + 12x) = 11(x + -3)

Reorder the terms:
9 + 12x = 11(-3 + x)
9 + 12x = (-3 * 11 + x * 11)
9 + 12x = (-33 + 11x)

Solving
9 + 12x = -33 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
9 + 12x + -11x = -33 + 11x + -11x

Combine like terms: 12x + -11x = 1x
9 + 1x = -33 + 11x + -11x

Combine like terms: 11x + -11x = 0
9 + 1x = -33 + 0
9 + 1x = -33

Add '-9' to each side of the equation.
9 + -9 + 1x = -33 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = -33 + -9
1x = -33 + -9

Combine like terms: -33 + -9 = -42
1x = -42

Divide each side by '1'.
x = -42

Simplifying
x = -42

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