-3x+49=5x+16

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Solution for -3x+49=5x+16 equation:


Simplifying
-3x + 49 = 5x + 16

Reorder the terms:
49 + -3x = 5x + 16

Reorder the terms:
49 + -3x = 16 + 5x

Solving
49 + -3x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
49 + -3x + -5x = 16 + 5x + -5x

Combine like terms: -3x + -5x = -8x
49 + -8x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
49 + -8x = 16 + 0
49 + -8x = 16

Add '-49' to each side of the equation.
49 + -49 + -8x = 16 + -49

Combine like terms: 49 + -49 = 0
0 + -8x = 16 + -49
-8x = 16 + -49

Combine like terms: 16 + -49 = -33
-8x = -33

Divide each side by '-8'.
x = 4.125

Simplifying
x = 4.125

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