2[7(x-3)-8]=54

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Solution for 2[7(x-3)-8]=54 equation:


Simplifying
2[7(x + -3) + -8] = 54

Reorder the terms:
2[7(-3 + x) + -8] = 54
2[(-3 * 7 + x * 7) + -8] = 54
2[(-21 + 7x) + -8] = 54

Reorder the terms:
2[-21 + -8 + 7x] = 54

Combine like terms: -21 + -8 = -29
2[-29 + 7x] = 54
[-29 * 2 + 7x * 2] = 54
[-58 + 14x] = 54

Solving
-58 + 14x = 54

Solving for variable 'x'.

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

Add '58' to each side of the equation.
-58 + 58 + 14x = 54 + 58

Combine like terms: -58 + 58 = 0
0 + 14x = 54 + 58
14x = 54 + 58

Combine like terms: 54 + 58 = 112
14x = 112

Divide each side by '14'.
x = 8

Simplifying
x = 8

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