2x+1=6x-7

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Solution for 2x+1=6x-7 equation:


Simplifying
2x + 1 = 6x + -7

Reorder the terms:
1 + 2x = 6x + -7

Reorder the terms:
1 + 2x = -7 + 6x

Solving
1 + 2x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 2x + -6x = -7 + 6x + -6x

Combine like terms: 2x + -6x = -4x
1 + -4x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -4x = -7 + 0
1 + -4x = -7

Add '-1' to each side of the equation.
1 + -1 + -4x = -7 + -1

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

Combine like terms: -7 + -1 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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