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

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Solution for 6(x+4)+3=-11(x-4)-4 equation:


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

Reorder the terms:
6(4 + x) + 3 = -11(x + -4) + -4
(4 * 6 + x * 6) + 3 = -11(x + -4) + -4
(24 + 6x) + 3 = -11(x + -4) + -4

Reorder the terms:
24 + 3 + 6x = -11(x + -4) + -4

Combine like terms: 24 + 3 = 27
27 + 6x = -11(x + -4) + -4

Reorder the terms:
27 + 6x = -11(-4 + x) + -4
27 + 6x = (-4 * -11 + x * -11) + -4
27 + 6x = (44 + -11x) + -4

Reorder the terms:
27 + 6x = 44 + -4 + -11x

Combine like terms: 44 + -4 = 40
27 + 6x = 40 + -11x

Solving
27 + 6x = 40 + -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.
27 + 6x + 11x = 40 + -11x + 11x

Combine like terms: 6x + 11x = 17x
27 + 17x = 40 + -11x + 11x

Combine like terms: -11x + 11x = 0
27 + 17x = 40 + 0
27 + 17x = 40

Add '-27' to each side of the equation.
27 + -27 + 17x = 40 + -27

Combine like terms: 27 + -27 = 0
0 + 17x = 40 + -27
17x = 40 + -27

Combine like terms: 40 + -27 = 13
17x = 13

Divide each side by '17'.
x = 0.7647058824

Simplifying
x = 0.7647058824

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