7x-31=4x-7

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


Simplifying
7x + -31 = 4x + -7

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

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

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

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

Combine like terms: 4x + -4x = 0
-31 + 3x = -7 + 0
-31 + 3x = -7

Add '31' to each side of the equation.
-31 + 31 + 3x = -7 + 31

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

Combine like terms: -7 + 31 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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