4(3x+4)=11x-2

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Solution for 4(3x+4)=11x-2 equation:


Simplifying
4(3x + 4) = 11x + -2

Reorder the terms:
4(4 + 3x) = 11x + -2
(4 * 4 + 3x * 4) = 11x + -2
(16 + 12x) = 11x + -2

Reorder the terms:
16 + 12x = -2 + 11x

Solving
16 + 12x = -2 + 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.
16 + 12x + -11x = -2 + 11x + -11x

Combine like terms: 12x + -11x = 1x
16 + 1x = -2 + 11x + -11x

Combine like terms: 11x + -11x = 0
16 + 1x = -2 + 0
16 + 1x = -2

Add '-16' to each side of the equation.
16 + -16 + 1x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = -2 + -16
1x = -2 + -16

Combine like terms: -2 + -16 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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