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

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


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

Reorder the terms:
4(-4 + x) + -7x = -31
(-4 * 4 + x * 4) + -7x = -31
(-16 + 4x) + -7x = -31

Combine like terms: 4x + -7x = -3x
-16 + -3x = -31

Solving
-16 + -3x = -31

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + -3x = -31 + 16

Combine like terms: -16 + 16 = 0
0 + -3x = -31 + 16
-3x = -31 + 16

Combine like terms: -31 + 16 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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