8(x+2)+3=-11(x-6)-4

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Solution for 8(x+2)+3=-11(x-6)-4 equation:


Simplifying
8(x + 2) + 3 = -11(x + -6) + -4

Reorder the terms:
8(2 + x) + 3 = -11(x + -6) + -4
(2 * 8 + x * 8) + 3 = -11(x + -6) + -4
(16 + 8x) + 3 = -11(x + -6) + -4

Reorder the terms:
16 + 3 + 8x = -11(x + -6) + -4

Combine like terms: 16 + 3 = 19
19 + 8x = -11(x + -6) + -4

Reorder the terms:
19 + 8x = -11(-6 + x) + -4
19 + 8x = (-6 * -11 + x * -11) + -4
19 + 8x = (66 + -11x) + -4

Reorder the terms:
19 + 8x = 66 + -4 + -11x

Combine like terms: 66 + -4 = 62
19 + 8x = 62 + -11x

Solving
19 + 8x = 62 + -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.
19 + 8x + 11x = 62 + -11x + 11x

Combine like terms: 8x + 11x = 19x
19 + 19x = 62 + -11x + 11x

Combine like terms: -11x + 11x = 0
19 + 19x = 62 + 0
19 + 19x = 62

Add '-19' to each side of the equation.
19 + -19 + 19x = 62 + -19

Combine like terms: 19 + -19 = 0
0 + 19x = 62 + -19
19x = 62 + -19

Combine like terms: 62 + -19 = 43
19x = 43

Divide each side by '19'.
x = 2.263157895

Simplifying
x = 2.263157895

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