16x-72=12(x-4)+17

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Solution for 16x-72=12(x-4)+17 equation:


Simplifying
16x + -72 = 12(x + -4) + 17

Reorder the terms:
-72 + 16x = 12(x + -4) + 17

Reorder the terms:
-72 + 16x = 12(-4 + x) + 17
-72 + 16x = (-4 * 12 + x * 12) + 17
-72 + 16x = (-48 + 12x) + 17

Reorder the terms:
-72 + 16x = -48 + 17 + 12x

Combine like terms: -48 + 17 = -31
-72 + 16x = -31 + 12x

Solving
-72 + 16x = -31 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-72 + 16x + -12x = -31 + 12x + -12x

Combine like terms: 16x + -12x = 4x
-72 + 4x = -31 + 12x + -12x

Combine like terms: 12x + -12x = 0
-72 + 4x = -31 + 0
-72 + 4x = -31

Add '72' to each side of the equation.
-72 + 72 + 4x = -31 + 72

Combine like terms: -72 + 72 = 0
0 + 4x = -31 + 72
4x = -31 + 72

Combine like terms: -31 + 72 = 41
4x = 41

Divide each side by '4'.
x = 10.25

Simplifying
x = 10.25

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