(x+16)=(4x-29)

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Solution for (x+16)=(4x-29) equation:


Simplifying
(x + 16) = (4x + -29)

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

Remove parenthesis around (16 + x)
16 + x = (4x + -29)

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

Remove parenthesis around (-29 + 4x)
16 + x = -29 + 4x

Solving
16 + x = -29 + 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.
16 + x + -4x = -29 + 4x + -4x

Combine like terms: x + -4x = -3x
16 + -3x = -29 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -3x = -29 + 0
16 + -3x = -29

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

Combine like terms: 16 + -16 = 0
0 + -3x = -29 + -16
-3x = -29 + -16

Combine like terms: -29 + -16 = -45
-3x = -45

Divide each side by '-3'.
x = 15

Simplifying
x = 15

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