(3x+29)=(4x-9)

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Solution for (3x+29)=(4x-9) equation:


Simplifying
(3x + 29) = (4x + -9)

Reorder the terms:
(29 + 3x) = (4x + -9)

Remove parenthesis around (29 + 3x)
29 + 3x = (4x + -9)

Reorder the terms:
29 + 3x = (-9 + 4x)

Remove parenthesis around (-9 + 4x)
29 + 3x = -9 + 4x

Solving
29 + 3x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
29 + 3x + -4x = -9 + 4x + -4x

Combine like terms: 3x + -4x = -1x
29 + -1x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
29 + -1x = -9 + 0
29 + -1x = -9

Add '-29' to each side of the equation.
29 + -29 + -1x = -9 + -29

Combine like terms: 29 + -29 = 0
0 + -1x = -9 + -29
-1x = -9 + -29

Combine like terms: -9 + -29 = -38
-1x = -38

Divide each side by '-1'.
x = 38

Simplifying
x = 38

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