2-7x+7=3x-6-5x-15

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Solution for 2-7x+7=3x-6-5x-15 equation:


Simplifying
2 + -7x + 7 = 3x + -6 + -5x + -15

Reorder the terms:
2 + 7 + -7x = 3x + -6 + -5x + -15

Combine like terms: 2 + 7 = 9
9 + -7x = 3x + -6 + -5x + -15

Reorder the terms:
9 + -7x = -6 + -15 + 3x + -5x

Combine like terms: -6 + -15 = -21
9 + -7x = -21 + 3x + -5x

Combine like terms: 3x + -5x = -2x
9 + -7x = -21 + -2x

Solving
9 + -7x = -21 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9 + -7x + 2x = -21 + -2x + 2x

Combine like terms: -7x + 2x = -5x
9 + -5x = -21 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + -5x = -21 + 0
9 + -5x = -21

Add '-9' to each side of the equation.
9 + -9 + -5x = -21 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -21 + -9
-5x = -21 + -9

Combine like terms: -21 + -9 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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