3x+49=7x+5

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Solution for 3x+49=7x+5 equation:


Simplifying
3x + 49 = 7x + 5

Reorder the terms:
49 + 3x = 7x + 5

Reorder the terms:
49 + 3x = 5 + 7x

Solving
49 + 3x = 5 + 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.
49 + 3x + -7x = 5 + 7x + -7x

Combine like terms: 3x + -7x = -4x
49 + -4x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
49 + -4x = 5 + 0
49 + -4x = 5

Add '-49' to each side of the equation.
49 + -49 + -4x = 5 + -49

Combine like terms: 49 + -49 = 0
0 + -4x = 5 + -49
-4x = 5 + -49

Combine like terms: 5 + -49 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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