2[7-(-3x-7)]=42x+112

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Solution for 2[7-(-3x-7)]=42x+112 equation:


Simplifying
2[7 + -1(-3x + -7)] = 42x + 112

Reorder the terms:
2[7 + -1(-7 + -3x)] = 42x + 112
2[7 + (-7 * -1 + -3x * -1)] = 42x + 112
2[7 + (7 + 3x)] = 42x + 112

Combine like terms: 7 + 7 = 14
2[14 + 3x] = 42x + 112
[14 * 2 + 3x * 2] = 42x + 112
[28 + 6x] = 42x + 112

Reorder the terms:
28 + 6x = 112 + 42x

Solving
28 + 6x = 112 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
28 + 6x + -42x = 112 + 42x + -42x

Combine like terms: 6x + -42x = -36x
28 + -36x = 112 + 42x + -42x

Combine like terms: 42x + -42x = 0
28 + -36x = 112 + 0
28 + -36x = 112

Add '-28' to each side of the equation.
28 + -28 + -36x = 112 + -28

Combine like terms: 28 + -28 = 0
0 + -36x = 112 + -28
-36x = 112 + -28

Combine like terms: 112 + -28 = 84
-36x = 84

Divide each side by '-36'.
x = -2.333333333

Simplifying
x = -2.333333333

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