3X+6-5+4X=8X+9X-75+46

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Solution for 3X+6-5+4X=8X+9X-75+46 equation:


Simplifying
3X + 6 + -5 + 4X = 8X + 9X + -75 + 46

Reorder the terms:
6 + -5 + 3X + 4X = 8X + 9X + -75 + 46

Combine like terms: 6 + -5 = 1
1 + 3X + 4X = 8X + 9X + -75 + 46

Combine like terms: 3X + 4X = 7X
1 + 7X = 8X + 9X + -75 + 46

Reorder the terms:
1 + 7X = -75 + 46 + 8X + 9X

Combine like terms: -75 + 46 = -29
1 + 7X = -29 + 8X + 9X

Combine like terms: 8X + 9X = 17X
1 + 7X = -29 + 17X

Solving
1 + 7X = -29 + 17X

Solving for variable 'X'.

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

Add '-17X' to each side of the equation.
1 + 7X + -17X = -29 + 17X + -17X

Combine like terms: 7X + -17X = -10X
1 + -10X = -29 + 17X + -17X

Combine like terms: 17X + -17X = 0
1 + -10X = -29 + 0
1 + -10X = -29

Add '-1' to each side of the equation.
1 + -1 + -10X = -29 + -1

Combine like terms: 1 + -1 = 0
0 + -10X = -29 + -1
-10X = -29 + -1

Combine like terms: -29 + -1 = -30
-10X = -30

Divide each side by '-10'.
X = 3

Simplifying
X = 3

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