4x+31=7x-14

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Solution for 4x+31=7x-14 equation:


Simplifying
4x + 31 = 7x + -14

Reorder the terms:
31 + 4x = 7x + -14

Reorder the terms:
31 + 4x = -14 + 7x

Solving
31 + 4x = -14 + 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.
31 + 4x + -7x = -14 + 7x + -7x

Combine like terms: 4x + -7x = -3x
31 + -3x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
31 + -3x = -14 + 0
31 + -3x = -14

Add '-31' to each side of the equation.
31 + -31 + -3x = -14 + -31

Combine like terms: 31 + -31 = 0
0 + -3x = -14 + -31
-3x = -14 + -31

Combine like terms: -14 + -31 = -45
-3x = -45

Divide each side by '-3'.
x = 15

Simplifying
x = 15

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