2(x+13)+1=1-3(10-x)

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Solution for 2(x+13)+1=1-3(10-x) equation: 


Simplifying
2(x + 13) + 1 = 1 + -3(10 + -1x)

Reorder the terms:
2(13 + x) + 1 = 1 + -3(10 + -1x)
(13 * 2 + x * 2) + 1 = 1 + -3(10 + -1x)
(26 + 2x) + 1 = 1 + -3(10 + -1x)

Reorder the terms:
26 + 1 + 2x = 1 + -3(10 + -1x)

Combine like terms: 26 + 1 = 27
27 + 2x = 1 + -3(10 + -1x)
27 + 2x = 1 + (10 * -3 + -1x * -3)
27 + 2x = 1 + (-30 + 3x)

Combine like terms: 1 + -30 = -29
27 + 2x = -29 + 3x

Solving
27 + 2x = -29 + 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.
27 + 2x + -3x = -29 + 3x + -3x

Combine like terms: 2x + -3x = -1x
27 + -1x = -29 + 3x + -3x

Combine like terms: 3x + -3x = 0
27 + -1x = -29 + 0
27 + -1x = -29

Add '-27' to each side of the equation.
27 + -27 + -1x = -29 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = -29 + -27
-1x = -29 + -27

Combine like terms: -29 + -27 = -56
-1x = -56

Divide each side by '-1'.
x = 56

Simplifying
x = 56

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