2(x-6)+13=14-2(3x+5)+x

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Solution for 2(x-6)+13=14-2(3x+5)+x equation:


Simplifying
2(x + -6) + 13 = 14 + -2(3x + 5) + x

Reorder the terms:
2(-6 + x) + 13 = 14 + -2(3x + 5) + x
(-6 * 2 + x * 2) + 13 = 14 + -2(3x + 5) + x
(-12 + 2x) + 13 = 14 + -2(3x + 5) + x

Reorder the terms:
-12 + 13 + 2x = 14 + -2(3x + 5) + x

Combine like terms: -12 + 13 = 1
1 + 2x = 14 + -2(3x + 5) + x

Reorder the terms:
1 + 2x = 14 + -2(5 + 3x) + x
1 + 2x = 14 + (5 * -2 + 3x * -2) + x
1 + 2x = 14 + (-10 + -6x) + x

Combine like terms: 14 + -10 = 4
1 + 2x = 4 + -6x + x

Combine like terms: -6x + x = -5x
1 + 2x = 4 + -5x

Solving
1 + 2x = 4 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
1 + 2x + 5x = 4 + -5x + 5x

Combine like terms: 2x + 5x = 7x
1 + 7x = 4 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + 7x = 4 + 0
1 + 7x = 4

Add '-1' to each side of the equation.
1 + -1 + 7x = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 4 + -1
7x = 4 + -1

Combine like terms: 4 + -1 = 3
7x = 3

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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