16-4(x-7)=3x-12

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Solution for 16-4(x-7)=3x-12 equation:


Simplifying
16 + -4(x + -7) = 3x + -12

Reorder the terms:
16 + -4(-7 + x) = 3x + -12
16 + (-7 * -4 + x * -4) = 3x + -12
16 + (28 + -4x) = 3x + -12

Combine like terms: 16 + 28 = 44
44 + -4x = 3x + -12

Reorder the terms:
44 + -4x = -12 + 3x

Solving
44 + -4x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
44 + -4x + -3x = -12 + 3x + -3x

Combine like terms: -4x + -3x = -7x
44 + -7x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
44 + -7x = -12 + 0
44 + -7x = -12

Add '-44' to each side of the equation.
44 + -44 + -7x = -12 + -44

Combine like terms: 44 + -44 = 0
0 + -7x = -12 + -44
-7x = -12 + -44

Combine like terms: -12 + -44 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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