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

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


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

Reorder the terms:
2(-13 + 5x) = 3x + -8 + x
(-13 * 2 + 5x * 2) = 3x + -8 + x
(-26 + 10x) = 3x + -8 + x

Reorder the terms:
-26 + 10x = -8 + 3x + x

Combine like terms: 3x + x = 4x
-26 + 10x = -8 + 4x

Solving
-26 + 10x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-26 + 10x + -4x = -8 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-26 + 6x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-26 + 6x = -8 + 0
-26 + 6x = -8

Add '26' to each side of the equation.
-26 + 26 + 6x = -8 + 26

Combine like terms: -26 + 26 = 0
0 + 6x = -8 + 26
6x = -8 + 26

Combine like terms: -8 + 26 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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