-6x+7=3x-10

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


Simplifying
-6x + 7 = 3x + -10

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

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

Solving
7 + -6x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + -6x + -3x = -10 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
7 + -9x = -10 + 0
7 + -9x = -10

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

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

Combine like terms: -10 + -7 = -17
-9x = -17

Divide each side by '-9'.
x = 1.888888889

Simplifying
x = 1.888888889

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