320=67*X+(X+1)*10

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Solution for 320=67*X+(X+1)*10 equation:


Simplifying
320 = 67X + (X + 1) * 10

Reorder the terms:
320 = 67X + (1 + X) * 10

Reorder the terms for easier multiplication:
320 = 67X + 10(1 + X)
320 = 67X + (1 * 10 + X * 10)
320 = 67X + (10 + 10X)

Reorder the terms:
320 = 10 + 67X + 10X

Combine like terms: 67X + 10X = 77X
320 = 10 + 77X

Solving
320 = 10 + 77X

Solving for variable 'X'.

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

Add '-77X' to each side of the equation.
320 + -77X = 10 + 77X + -77X

Combine like terms: 77X + -77X = 0
320 + -77X = 10 + 0
320 + -77X = 10

Add '-320' to each side of the equation.
320 + -320 + -77X = 10 + -320

Combine like terms: 320 + -320 = 0
0 + -77X = 10 + -320
-77X = 10 + -320

Combine like terms: 10 + -320 = -310
-77X = -310

Divide each side by '-77'.
X = 4.025974026

Simplifying
X = 4.025974026

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