8(x+1)+3=-11(x-10)-6

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Solution for 8(x+1)+3=-11(x-10)-6 equation:


Simplifying
8(x + 1) + 3 = -11(x + -10) + -6

Reorder the terms:
8(1 + x) + 3 = -11(x + -10) + -6
(1 * 8 + x * 8) + 3 = -11(x + -10) + -6
(8 + 8x) + 3 = -11(x + -10) + -6

Reorder the terms:
8 + 3 + 8x = -11(x + -10) + -6

Combine like terms: 8 + 3 = 11
11 + 8x = -11(x + -10) + -6

Reorder the terms:
11 + 8x = -11(-10 + x) + -6
11 + 8x = (-10 * -11 + x * -11) + -6
11 + 8x = (110 + -11x) + -6

Reorder the terms:
11 + 8x = 110 + -6 + -11x

Combine like terms: 110 + -6 = 104
11 + 8x = 104 + -11x

Solving
11 + 8x = 104 + -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.
11 + 8x + 11x = 104 + -11x + 11x

Combine like terms: 8x + 11x = 19x
11 + 19x = 104 + -11x + 11x

Combine like terms: -11x + 11x = 0
11 + 19x = 104 + 0
11 + 19x = 104

Add '-11' to each side of the equation.
11 + -11 + 19x = 104 + -11

Combine like terms: 11 + -11 = 0
0 + 19x = 104 + -11
19x = 104 + -11

Combine like terms: 104 + -11 = 93
19x = 93

Divide each side by '19'.
x = 4.894736842

Simplifying
x = 4.894736842

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