6[4-(-7X-8)]=336X+408

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Solution for 6[4-(-7X-8)]=336X+408 equation:


Simplifying
6[4 + -1(-7X + -8)] = 336X + 408

Reorder the terms:
6[4 + -1(-8 + -7X)] = 336X + 408
6[4 + (-8 * -1 + -7X * -1)] = 336X + 408
6[4 + (8 + 7X)] = 336X + 408

Combine like terms: 4 + 8 = 12
6[12 + 7X] = 336X + 408
[12 * 6 + 7X * 6] = 336X + 408
[72 + 42X] = 336X + 408

Reorder the terms:
72 + 42X = 408 + 336X

Solving
72 + 42X = 408 + 336X

Solving for variable 'X'.

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

Add '-336X' to each side of the equation.
72 + 42X + -336X = 408 + 336X + -336X

Combine like terms: 42X + -336X = -294X
72 + -294X = 408 + 336X + -336X

Combine like terms: 336X + -336X = 0
72 + -294X = 408 + 0
72 + -294X = 408

Add '-72' to each side of the equation.
72 + -72 + -294X = 408 + -72

Combine like terms: 72 + -72 = 0
0 + -294X = 408 + -72
-294X = 408 + -72

Combine like terms: 408 + -72 = 336
-294X = 336

Divide each side by '-294'.
X = -1.142857143

Simplifying
X = -1.142857143

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