3x+10+17x-7=-6-2x+51+x

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Solution for 3x+10+17x-7=-6-2x+51+x equation:


Simplifying
3x + 10 + 17x + -7 = -6 + -2x + 51 + x

Reorder the terms:
10 + -7 + 3x + 17x = -6 + -2x + 51 + x

Combine like terms: 10 + -7 = 3
3 + 3x + 17x = -6 + -2x + 51 + x

Combine like terms: 3x + 17x = 20x
3 + 20x = -6 + -2x + 51 + x

Reorder the terms:
3 + 20x = -6 + 51 + -2x + x

Combine like terms: -6 + 51 = 45
3 + 20x = 45 + -2x + x

Combine like terms: -2x + x = -1x
3 + 20x = 45 + -1x

Solving
3 + 20x = 45 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + 20x + x = 45 + -1x + x

Combine like terms: 20x + x = 21x
3 + 21x = 45 + -1x + x

Combine like terms: -1x + x = 0
3 + 21x = 45 + 0
3 + 21x = 45

Add '-3' to each side of the equation.
3 + -3 + 21x = 45 + -3

Combine like terms: 3 + -3 = 0
0 + 21x = 45 + -3
21x = 45 + -3

Combine like terms: 45 + -3 = 42
21x = 42

Divide each side by '21'.
x = 2

Simplifying
x = 2

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