6x+6(-7+3x)=102

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Solution for 6x+6(-7+3x)=102 equation:


Simplifying
6x + 6(-7 + 3x) = 102
6x + (-7 * 6 + 3x * 6) = 102
6x + (-42 + 18x) = 102

Reorder the terms:
-42 + 6x + 18x = 102

Combine like terms: 6x + 18x = 24x
-42 + 24x = 102

Solving
-42 + 24x = 102

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 24x = 102 + 42

Combine like terms: -42 + 42 = 0
0 + 24x = 102 + 42
24x = 102 + 42

Combine like terms: 102 + 42 = 144
24x = 144

Divide each side by '24'.
x = 6

Simplifying
x = 6

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