-7(-6-7x)=12(x-3)

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Solution for -7(-6-7x)=12(x-3) equation:


Simplifying
-7(-6 + -7x) = 12(x + -3)
(-6 * -7 + -7x * -7) = 12(x + -3)
(42 + 49x) = 12(x + -3)

Reorder the terms:
42 + 49x = 12(-3 + x)
42 + 49x = (-3 * 12 + x * 12)
42 + 49x = (-36 + 12x)

Solving
42 + 49x = -36 + 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.
42 + 49x + -12x = -36 + 12x + -12x

Combine like terms: 49x + -12x = 37x
42 + 37x = -36 + 12x + -12x

Combine like terms: 12x + -12x = 0
42 + 37x = -36 + 0
42 + 37x = -36

Add '-42' to each side of the equation.
42 + -42 + 37x = -36 + -42

Combine like terms: 42 + -42 = 0
0 + 37x = -36 + -42
37x = -36 + -42

Combine like terms: -36 + -42 = -78
37x = -78

Divide each side by '37'.
x = -2.108108108

Simplifying
x = -2.108108108

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