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

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


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

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

Reorder the terms:
28 + 3x + -7x = -12

Combine like terms: 3x + -7x = -4x
28 + -4x = -12

Solving
28 + -4x = -12

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + -4x = -12 + -28

Combine like terms: 28 + -28 = 0
0 + -4x = -12 + -28
-4x = -12 + -28

Combine like terms: -12 + -28 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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