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

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


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

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

Remove parenthesis around (-13 + 3x)
2x + -13 + 3x = 43 + -2x

Reorder the terms:
-13 + 2x + 3x = 43 + -2x

Combine like terms: 2x + 3x = 5x
-13 + 5x = 43 + -2x

Solving
-13 + 5x = 43 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-13 + 5x + 2x = 43 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-13 + 7x = 43 + -2x + 2x

Combine like terms: -2x + 2x = 0
-13 + 7x = 43 + 0
-13 + 7x = 43

Add '13' to each side of the equation.
-13 + 13 + 7x = 43 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 43 + 13
7x = 43 + 13

Combine like terms: 43 + 13 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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