(7x-3)+(6x)+(8x-2)=258

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Solution for (7x-3)+(6x)+(8x-2)=258 equation:


Simplifying
(7x + -3) + (6x) + (8x + -2) = 258

Reorder the terms:
(-3 + 7x) + (6x) + (8x + -2) = 258

Remove parenthesis around (-3 + 7x)
-3 + 7x + (6x) + (8x + -2) = 258

Reorder the terms:
-3 + 7x + (6x) + (-2 + 8x) = 258

Remove parenthesis around (-2 + 8x)
-3 + 7x + (6x) + -2 + 8x = 258

Reorder the terms:
-3 + -2 + 7x + (6x) + 8x = 258

Combine like terms: -3 + -2 = -5
-5 + 7x + (6x) + 8x = 258

Combine like terms: 7x + (6x) = 13x
-5 + 13x + 8x = 258

Combine like terms: 13x + 8x = 21x
-5 + 21x = 258

Solving
-5 + 21x = 258

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 21x = 258 + 5

Combine like terms: -5 + 5 = 0
0 + 21x = 258 + 5
21x = 258 + 5

Combine like terms: 258 + 5 = 263
21x = 263

Divide each side by '21'.
x = 12.52380952

Simplifying
x = 12.52380952

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