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 = -25
-25 + 2x = 1 + -3(10 + -1x)
-25 + 2x = 1 + (10 * -3 + -1x * -3)
-25 + 2x = 1 + (-30 + 3x)

Combine like terms: 1 + -30 = -29
-25 + 2x = -29 + 3x

Solving
-25 + 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.
-25 + 2x + -3x = -29 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-25 + -1x = -29 + 3x + -3x

Combine like terms: 3x + -3x = 0
-25 + -1x = -29 + 0
-25 + -1x = -29

Add '25' to each side of the equation.
-25 + 25 + -1x = -29 + 25

Combine like terms: -25 + 25 = 0
0 + -1x = -29 + 25
-1x = -29 + 25

Combine like terms: -29 + 25 = -4
-1x = -4

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

Simplifying
x = 4

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