2(2x+13)=13x-37

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Solution for 2(2x+13)=13x-37 equation:


Simplifying
2(2x + 13) = 13x + -37

Reorder the terms:
2(13 + 2x) = 13x + -37
(13 * 2 + 2x * 2) = 13x + -37
(26 + 4x) = 13x + -37

Reorder the terms:
26 + 4x = -37 + 13x

Solving
26 + 4x = -37 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
26 + 4x + -13x = -37 + 13x + -13x

Combine like terms: 4x + -13x = -9x
26 + -9x = -37 + 13x + -13x

Combine like terms: 13x + -13x = 0
26 + -9x = -37 + 0
26 + -9x = -37

Add '-26' to each side of the equation.
26 + -26 + -9x = -37 + -26

Combine like terms: 26 + -26 = 0
0 + -9x = -37 + -26
-9x = -37 + -26

Combine like terms: -37 + -26 = -63
-9x = -63

Divide each side by '-9'.
x = 7

Simplifying
x = 7

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