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

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


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

Reorder the terms:
6(3 + x) + 3 = -2(x + -11) + -3
(3 * 6 + x * 6) + 3 = -2(x + -11) + -3
(18 + 6x) + 3 = -2(x + -11) + -3

Reorder the terms:
18 + 3 + 6x = -2(x + -11) + -3

Combine like terms: 18 + 3 = 21
21 + 6x = -2(x + -11) + -3

Reorder the terms:
21 + 6x = -2(-11 + x) + -3
21 + 6x = (-11 * -2 + x * -2) + -3
21 + 6x = (22 + -2x) + -3

Reorder the terms:
21 + 6x = 22 + -3 + -2x

Combine like terms: 22 + -3 = 19
21 + 6x = 19 + -2x

Solving
21 + 6x = 19 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
21 + 6x + 2x = 19 + -2x + 2x

Combine like terms: 6x + 2x = 8x
21 + 8x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + 8x = 19 + 0
21 + 8x = 19

Add '-21' to each side of the equation.
21 + -21 + 8x = 19 + -21

Combine like terms: 21 + -21 = 0
0 + 8x = 19 + -21
8x = 19 + -21

Combine like terms: 19 + -21 = -2
8x = -2

Divide each side by '8'.
x = -0.25

Simplifying
x = -0.25

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