7x-(4x+4)=6x-31

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Solution for 7x-(4x+4)=6x-31 equation:


Simplifying
7x + -1(4x + 4) = 6x + -31

Reorder the terms:
7x + -1(4 + 4x) = 6x + -31
7x + (4 * -1 + 4x * -1) = 6x + -31
7x + (-4 + -4x) = 6x + -31

Reorder the terms:
-4 + 7x + -4x = 6x + -31

Combine like terms: 7x + -4x = 3x
-4 + 3x = 6x + -31

Reorder the terms:
-4 + 3x = -31 + 6x

Solving
-4 + 3x = -31 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-4 + 3x + -6x = -31 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-4 + -3x = -31 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -3x = -31 + 0
-4 + -3x = -31

Add '4' to each side of the equation.
-4 + 4 + -3x = -31 + 4

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

Combine like terms: -31 + 4 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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