7x+1=3x-11

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Solution for 7x+1=3x-11 equation:


Simplifying
7x + 1 = 3x + -11

Reorder the terms:
1 + 7x = 3x + -11

Reorder the terms:
1 + 7x = -11 + 3x

Solving
1 + 7x = -11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 7x + -3x = -11 + 3x + -3x

Combine like terms: 7x + -3x = 4x
1 + 4x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 4x = -11 + 0
1 + 4x = -11

Add '-1' to each side of the equation.
1 + -1 + 4x = -11 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = -11 + -1
4x = -11 + -1

Combine like terms: -11 + -1 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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