4[5-(-7x-2)]=84x+44

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Solution for 4[5-(-7x-2)]=84x+44 equation:


Simplifying
4[5 + -1(-7x + -2)] = 84x + 44

Reorder the terms:
4[5 + -1(-2 + -7x)] = 84x + 44
4[5 + (-2 * -1 + -7x * -1)] = 84x + 44
4[5 + (2 + 7x)] = 84x + 44

Combine like terms: 5 + 2 = 7
4[7 + 7x] = 84x + 44
[7 * 4 + 7x * 4] = 84x + 44
[28 + 28x] = 84x + 44

Reorder the terms:
28 + 28x = 44 + 84x

Solving
28 + 28x = 44 + 84x

Solving for variable 'x'.

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

Add '-84x' to each side of the equation.
28 + 28x + -84x = 44 + 84x + -84x

Combine like terms: 28x + -84x = -56x
28 + -56x = 44 + 84x + -84x

Combine like terms: 84x + -84x = 0
28 + -56x = 44 + 0
28 + -56x = 44

Add '-28' to each side of the equation.
28 + -28 + -56x = 44 + -28

Combine like terms: 28 + -28 = 0
0 + -56x = 44 + -28
-56x = 44 + -28

Combine like terms: 44 + -28 = 16
-56x = 16

Divide each side by '-56'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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