5x-7(x-4)=12

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Solution for 5x-7(x-4)=12 equation:


Simplifying
5x + -7(x + -4) = 12

Reorder the terms:
5x + -7(-4 + x) = 12
5x + (-4 * -7 + x * -7) = 12
5x + (28 + -7x) = 12

Reorder the terms:
28 + 5x + -7x = 12

Combine like terms: 5x + -7x = -2x
28 + -2x = 12

Solving
28 + -2x = 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 + -2x = 12 + -28

Combine like terms: 28 + -28 = 0
0 + -2x = 12 + -28
-2x = 12 + -28

Combine like terms: 12 + -28 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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