(3x+29)=(7x-19)

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Solution for (3x+29)=(7x-19) equation:


Simplifying
(3x + 29) = (7x + -19)

Reorder the terms:
(29 + 3x) = (7x + -19)

Remove parenthesis around (29 + 3x)
29 + 3x = (7x + -19)

Reorder the terms:
29 + 3x = (-19 + 7x)

Remove parenthesis around (-19 + 7x)
29 + 3x = -19 + 7x

Solving
29 + 3x = -19 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
29 + 3x + -7x = -19 + 7x + -7x

Combine like terms: 3x + -7x = -4x
29 + -4x = -19 + 7x + -7x

Combine like terms: 7x + -7x = 0
29 + -4x = -19 + 0
29 + -4x = -19

Add '-29' to each side of the equation.
29 + -29 + -4x = -19 + -29

Combine like terms: 29 + -29 = 0
0 + -4x = -19 + -29
-4x = -19 + -29

Combine like terms: -19 + -29 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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