3(x+4)=11x-16

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Solution for 3(x+4)=11x-16 equation:


Simplifying
3(x + 4) = 11x + -16

Reorder the terms:
3(4 + x) = 11x + -16
(4 * 3 + x * 3) = 11x + -16
(12 + 3x) = 11x + -16

Reorder the terms:
12 + 3x = -16 + 11x

Solving
12 + 3x = -16 + 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.
12 + 3x + -11x = -16 + 11x + -11x

Combine like terms: 3x + -11x = -8x
12 + -8x = -16 + 11x + -11x

Combine like terms: 11x + -11x = 0
12 + -8x = -16 + 0
12 + -8x = -16

Add '-12' to each side of the equation.
12 + -12 + -8x = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = -16 + -12
-8x = -16 + -12

Combine like terms: -16 + -12 = -28
-8x = -28

Divide each side by '-8'.
x = 3.5

Simplifying
x = 3.5

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