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

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


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

Multiply x * x
x2 + 5x + -3 = x(x) + -4x + -66

Reorder the terms:
-3 + 5x + x2 = x(x) + -4x + -66

Multiply x * x
-3 + 5x + x2 = x2 + -4x + -66

Reorder the terms:
-3 + 5x + x2 = -66 + -4x + x2

Add '-1x2' to each side of the equation.
-3 + 5x + x2 + -1x2 = -66 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 5x + 0 = -66 + -4x + x2 + -1x2
-3 + 5x = -66 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 5x = -66 + -4x + 0
-3 + 5x = -66 + -4x

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

Combine like terms: 5x + 4x = 9x
-3 + 9x = -66 + -4x + 4x

Combine like terms: -4x + 4x = 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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