4[7-(-7x-2)]=196x+84

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Solution for 4[7-(-7x-2)]=196x+84 equation:


Simplifying
4[7 + -1(-7x + -2)] = 196x + 84

Reorder the terms:
4[7 + -1(-2 + -7x)] = 196x + 84
4[7 + (-2 * -1 + -7x * -1)] = 196x + 84
4[7 + (2 + 7x)] = 196x + 84

Combine like terms: 7 + 2 = 9
4[9 + 7x] = 196x + 84
[9 * 4 + 7x * 4] = 196x + 84
[36 + 28x] = 196x + 84

Reorder the terms:
36 + 28x = 84 + 196x

Solving
36 + 28x = 84 + 196x

Solving for variable 'x'.

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

Add '-196x' to each side of the equation.
36 + 28x + -196x = 84 + 196x + -196x

Combine like terms: 28x + -196x = -168x
36 + -168x = 84 + 196x + -196x

Combine like terms: 196x + -196x = 0
36 + -168x = 84 + 0
36 + -168x = 84

Add '-36' to each side of the equation.
36 + -36 + -168x = 84 + -36

Combine like terms: 36 + -36 = 0
0 + -168x = 84 + -36
-168x = 84 + -36

Combine like terms: 84 + -36 = 48
-168x = 48

Divide each side by '-168'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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