3x-1=7x-49

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Solution for 3x-1=7x-49 equation:


Simplifying
3x + -1 = 7x + -49

Reorder the terms:
-1 + 3x = 7x + -49

Reorder the terms:
-1 + 3x = -49 + 7x

Solving
-1 + 3x = -49 + 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.
-1 + 3x + -7x = -49 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-1 + -4x = -49 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1 + -4x = -49 + 0
-1 + -4x = -49

Add '1' to each side of the equation.
-1 + 1 + -4x = -49 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = -49 + 1
-4x = -49 + 1

Combine like terms: -49 + 1 = -48
-4x = -48

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

Simplifying
x = 12

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