2x+1=7x-49

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Solution for 2x+1=7x-49 equation:


Simplifying
2x + 1 = 7x + -49

Reorder the terms:
1 + 2x = 7x + -49

Reorder the terms:
1 + 2x = -49 + 7x

Solving
1 + 2x = -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 + 2x + -7x = -49 + 7x + -7x

Combine like terms: 2x + -7x = -5x
1 + -5x = -49 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -5x = -49 + 0
1 + -5x = -49

Add '-1' to each side of the equation.
1 + -1 + -5x = -49 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = -49 + -1
-5x = -49 + -1

Combine like terms: -49 + -1 = -50
-5x = -50

Divide each side by '-5'.
x = 10

Simplifying
x = 10

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