7x+31=4x-11

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Solution for 7x+31=4x-11 equation:


Simplifying
7x + 31 = 4x + -11

Reorder the terms:
31 + 7x = 4x + -11

Reorder the terms:
31 + 7x = -11 + 4x

Solving
31 + 7x = -11 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
31 + 7x + -4x = -11 + 4x + -4x

Combine like terms: 7x + -4x = 3x
31 + 3x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
31 + 3x = -11 + 0
31 + 3x = -11

Add '-31' to each side of the equation.
31 + -31 + 3x = -11 + -31

Combine like terms: 31 + -31 = 0
0 + 3x = -11 + -31
3x = -11 + -31

Combine like terms: -11 + -31 = -42
3x = -42

Divide each side by '3'.
x = -14

Simplifying
x = -14

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