2x+29=9x-14

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Solution for 2x+29=9x-14 equation:


Simplifying
2x + 29 = 9x + -14

Reorder the terms:
29 + 2x = 9x + -14

Reorder the terms:
29 + 2x = -14 + 9x

Solving
29 + 2x = -14 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
29 + 2x + -9x = -14 + 9x + -9x

Combine like terms: 2x + -9x = -7x
29 + -7x = -14 + 9x + -9x

Combine like terms: 9x + -9x = 0
29 + -7x = -14 + 0
29 + -7x = -14

Add '-29' to each side of the equation.
29 + -29 + -7x = -14 + -29

Combine like terms: 29 + -29 = 0
0 + -7x = -14 + -29
-7x = -14 + -29

Combine like terms: -14 + -29 = -43
-7x = -43

Divide each side by '-7'.
x = 6.142857143

Simplifying
x = 6.142857143

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