3x+7=9x-10

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


Simplifying
3x + 7 = 9x + -10

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

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

Solving
7 + 3x = -10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
7 + 3x + -9x = -10 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
7 + -6x = -10 + 0
7 + -6x = -10

Add '-7' to each side of the equation.
7 + -7 + -6x = -10 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = -10 + -7
-6x = -10 + -7

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

Divide each side by '-6'.
x = 2.833333333

Simplifying
x = 2.833333333

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