6-(2x-13)=5(x+3)-11x

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Solution for 6-(2x-13)=5(x+3)-11x equation:


Simplifying
6 + -1(2x + -13) = 5(x + 3) + -11x

Reorder the terms:
6 + -1(-13 + 2x) = 5(x + 3) + -11x
6 + (-13 * -1 + 2x * -1) = 5(x + 3) + -11x
6 + (13 + -2x) = 5(x + 3) + -11x

Combine like terms: 6 + 13 = 19
19 + -2x = 5(x + 3) + -11x

Reorder the terms:
19 + -2x = 5(3 + x) + -11x
19 + -2x = (3 * 5 + x * 5) + -11x
19 + -2x = (15 + 5x) + -11x

Combine like terms: 5x + -11x = -6x
19 + -2x = 15 + -6x

Solving
19 + -2x = 15 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
19 + -2x + 6x = 15 + -6x + 6x

Combine like terms: -2x + 6x = 4x
19 + 4x = 15 + -6x + 6x

Combine like terms: -6x + 6x = 0
19 + 4x = 15 + 0
19 + 4x = 15

Add '-19' to each side of the equation.
19 + -19 + 4x = 15 + -19

Combine like terms: 19 + -19 = 0
0 + 4x = 15 + -19
4x = 15 + -19

Combine like terms: 15 + -19 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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