3x+16=4x-29

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Solution for 3x+16=4x-29 equation:


Simplifying
3x + 16 = 4x + -29

Reorder the terms:
16 + 3x = 4x + -29

Reorder the terms:
16 + 3x = -29 + 4x

Solving
16 + 3x = -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 + 3x + -4x = -29 + 4x + -4x

Combine like terms: 3x + -4x = -1x
16 + -1x = -29 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -1x = -29 + 0
16 + -1x = -29

Add '-16' to each side of the equation.
16 + -16 + -1x = -29 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = -29 + -16
-1x = -29 + -16

Combine like terms: -29 + -16 = -45
-1x = -45

Divide each side by '-1'.
x = 45

Simplifying
x = 45

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