x+5x-3=x-4x-66

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Solution for x+5x-3=x-4x-66 equation:


Simplifying
x + 5x + -3 = x + -4x + -66

Reorder the terms:
-3 + x + 5x = x + -4x + -66

Combine like terms: x + 5x = 6x
-3 + 6x = x + -4x + -66

Reorder the terms:
-3 + 6x = -66 + x + -4x

Combine like terms: x + -4x = -3x
-3 + 6x = -66 + -3x

Solving
-3 + 6x = -66 + -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.
-3 + 6x + 3x = -66 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-3 + 9x = -66 + -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + 9x = -66 + 0
-3 + 9x = -66

Add '3' to each side of the equation.
-3 + 3 + 9x = -66 + 3

Combine like terms: -3 + 3 = 0
0 + 9x = -66 + 3
9x = -66 + 3

Combine like terms: -66 + 3 = -63
9x = -63

Divide each side by '9'.
x = -7

Simplifying
x = -7

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