6-8(x+3)+5x=5x-(2x-5)+13

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Solution for 6-8(x+3)+5x=5x-(2x-5)+13 equation:


Simplifying
6 + -8(x + 3) + 5x = 5x + -1(2x + -5) + 13

Reorder the terms:
6 + -8(3 + x) + 5x = 5x + -1(2x + -5) + 13
6 + (3 * -8 + x * -8) + 5x = 5x + -1(2x + -5) + 13
6 + (-24 + -8x) + 5x = 5x + -1(2x + -5) + 13

Combine like terms: 6 + -24 = -18
-18 + -8x + 5x = 5x + -1(2x + -5) + 13

Combine like terms: -8x + 5x = -3x
-18 + -3x = 5x + -1(2x + -5) + 13

Reorder the terms:
-18 + -3x = 5x + -1(-5 + 2x) + 13
-18 + -3x = 5x + (-5 * -1 + 2x * -1) + 13
-18 + -3x = 5x + (5 + -2x) + 13

Reorder the terms:
-18 + -3x = 5 + 13 + 5x + -2x

Combine like terms: 5 + 13 = 18
-18 + -3x = 18 + 5x + -2x

Combine like terms: 5x + -2x = 3x
-18 + -3x = 18 + 3x

Solving
-18 + -3x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-18 + -3x + -3x = 18 + 3x + -3x

Combine like terms: -3x + -3x = -6x
-18 + -6x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + -6x = 18 + 0
-18 + -6x = 18

Add '18' to each side of the equation.
-18 + 18 + -6x = 18 + 18

Combine like terms: -18 + 18 = 0
0 + -6x = 18 + 18
-6x = 18 + 18

Combine like terms: 18 + 18 = 36
-6x = 36

Divide each side by '-6'.
x = -6

Simplifying
x = -6

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