6-9x-3=-78+4x-10

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Solution for 6-9x-3=-78+4x-10 equation:


Simplifying
6 + -9x + -3 = -78 + 4x + -10

Reorder the terms:
6 + -3 + -9x = -78 + 4x + -10

Combine like terms: 6 + -3 = 3
3 + -9x = -78 + 4x + -10

Reorder the terms:
3 + -9x = -78 + -10 + 4x

Combine like terms: -78 + -10 = -88
3 + -9x = -88 + 4x

Solving
3 + -9x = -88 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + -9x + -4x = -88 + 4x + -4x

Combine like terms: -9x + -4x = -13x
3 + -13x = -88 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -13x = -88 + 0
3 + -13x = -88

Add '-3' to each side of the equation.
3 + -3 + -13x = -88 + -3

Combine like terms: 3 + -3 = 0
0 + -13x = -88 + -3
-13x = -88 + -3

Combine like terms: -88 + -3 = -91
-13x = -91

Divide each side by '-13'.
x = 7

Simplifying
x = 7

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