2(x-13)=3x-43

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Solution for 2(x-13)=3x-43 equation:


Simplifying
2(x + -13) = 3x + -43

Reorder the terms:
2(-13 + x) = 3x + -43
(-13 * 2 + x * 2) = 3x + -43
(-26 + 2x) = 3x + -43

Reorder the terms:
-26 + 2x = -43 + 3x

Solving
-26 + 2x = -43 + 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.
-26 + 2x + -3x = -43 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-26 + -1x = -43 + 3x + -3x

Combine like terms: 3x + -3x = 0
-26 + -1x = -43 + 0
-26 + -1x = -43

Add '26' to each side of the equation.
-26 + 26 + -1x = -43 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = -43 + 26
-1x = -43 + 26

Combine like terms: -43 + 26 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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