3x+29=11x-16

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Solution for 3x+29=11x-16 equation:


Simplifying
3x + 29 = 11x + -16

Reorder the terms:
29 + 3x = 11x + -16

Reorder the terms:
29 + 3x = -16 + 11x

Solving
29 + 3x = -16 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
29 + 3x + -11x = -16 + 11x + -11x

Combine like terms: 3x + -11x = -8x
29 + -8x = -16 + 11x + -11x

Combine like terms: 11x + -11x = 0
29 + -8x = -16 + 0
29 + -8x = -16

Add '-29' to each side of the equation.
29 + -29 + -8x = -16 + -29

Combine like terms: 29 + -29 = 0
0 + -8x = -16 + -29
-8x = -16 + -29

Combine like terms: -16 + -29 = -45
-8x = -45

Divide each side by '-8'.
x = 5.625

Simplifying
x = 5.625

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