31-6x=-4(x-4)+5

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Solution for 31-6x=-4(x-4)+5 equation:


Simplifying
31 + -6x = -4(x + -4) + 5

Reorder the terms:
31 + -6x = -4(-4 + x) + 5
31 + -6x = (-4 * -4 + x * -4) + 5
31 + -6x = (16 + -4x) + 5

Reorder the terms:
31 + -6x = 16 + 5 + -4x

Combine like terms: 16 + 5 = 21
31 + -6x = 21 + -4x

Solving
31 + -6x = 21 + -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 + -6x + 4x = 21 + -4x + 4x

Combine like terms: -6x + 4x = -2x
31 + -2x = 21 + -4x + 4x

Combine like terms: -4x + 4x = 0
31 + -2x = 21 + 0
31 + -2x = 21

Add '-31' to each side of the equation.
31 + -31 + -2x = 21 + -31

Combine like terms: 31 + -31 = 0
0 + -2x = 21 + -31
-2x = 21 + -31

Combine like terms: 21 + -31 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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