3x+9-5x-10=7-7x+2x+6

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Solution for 3x+9-5x-10=7-7x+2x+6 equation:


Simplifying
3x + 9 + -5x + -10 = 7 + -7x + 2x + 6

Reorder the terms:
9 + -10 + 3x + -5x = 7 + -7x + 2x + 6

Combine like terms: 9 + -10 = -1
-1 + 3x + -5x = 7 + -7x + 2x + 6

Combine like terms: 3x + -5x = -2x
-1 + -2x = 7 + -7x + 2x + 6

Reorder the terms:
-1 + -2x = 7 + 6 + -7x + 2x

Combine like terms: 7 + 6 = 13
-1 + -2x = 13 + -7x + 2x

Combine like terms: -7x + 2x = -5x
-1 + -2x = 13 + -5x

Solving
-1 + -2x = 13 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-1 + -2x + 5x = 13 + -5x + 5x

Combine like terms: -2x + 5x = 3x
-1 + 3x = 13 + -5x + 5x

Combine like terms: -5x + 5x = 0
-1 + 3x = 13 + 0
-1 + 3x = 13

Add '1' to each side of the equation.
-1 + 1 + 3x = 13 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 13 + 1
3x = 13 + 1

Combine like terms: 13 + 1 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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