3(5X-2)-58=8X-1

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Solution for 3(5X-2)-58=8X-1 equation:


Simplifying
3(5X + -2) + -58 = 8X + -1

Reorder the terms:
3(-2 + 5X) + -58 = 8X + -1
(-2 * 3 + 5X * 3) + -58 = 8X + -1
(-6 + 15X) + -58 = 8X + -1

Reorder the terms:
-6 + -58 + 15X = 8X + -1

Combine like terms: -6 + -58 = -64
-64 + 15X = 8X + -1

Reorder the terms:
-64 + 15X = -1 + 8X

Solving
-64 + 15X = -1 + 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
-64 + 15X + -8X = -1 + 8X + -8X

Combine like terms: 15X + -8X = 7X
-64 + 7X = -1 + 8X + -8X

Combine like terms: 8X + -8X = 0
-64 + 7X = -1 + 0
-64 + 7X = -1

Add '64' to each side of the equation.
-64 + 64 + 7X = -1 + 64

Combine like terms: -64 + 64 = 0
0 + 7X = -1 + 64
7X = -1 + 64

Combine like terms: -1 + 64 = 63
7X = 63

Divide each side by '7'.
X = 9

Simplifying
X = 9

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