7x-(3x-7)=31

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Solution for 7x-(3x-7)=31 equation:


Simplifying
7x + -1(3x + -7) = 31

Reorder the terms:
7x + -1(-7 + 3x) = 31
7x + (-7 * -1 + 3x * -1) = 31
7x + (7 + -3x) = 31

Reorder the terms:
7 + 7x + -3x = 31

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

Solving
7 + 4x = 31

Solving for variable 'x'.

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

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

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

Combine like terms: 31 + -7 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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