5x+1=7x-11

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Solution for 5x+1=7x-11 equation:


Simplifying
5x + 1 = 7x + -11

Reorder the terms:
1 + 5x = 7x + -11

Reorder the terms:
1 + 5x = -11 + 7x

Solving
1 + 5x = -11 + 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 + 5x + -7x = -11 + 7x + -7x

Combine like terms: 5x + -7x = -2x
1 + -2x = -11 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -2x = -11 + 0
1 + -2x = -11

Add '-1' to each side of the equation.
1 + -1 + -2x = -11 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -11 + -1
-2x = -11 + -1

Combine like terms: -11 + -1 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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