4x+9=11x-33

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Solution for 4x+9=11x-33 equation:


Simplifying
4x + 9 = 11x + -33

Reorder the terms:
9 + 4x = 11x + -33

Reorder the terms:
9 + 4x = -33 + 11x

Solving
9 + 4x = -33 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
9 + 4x + -11x = -33 + 11x + -11x

Combine like terms: 4x + -11x = -7x
9 + -7x = -33 + 11x + -11x

Combine like terms: 11x + -11x = 0
9 + -7x = -33 + 0
9 + -7x = -33

Add '-9' to each side of the equation.
9 + -9 + -7x = -33 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = -33 + -9
-7x = -33 + -9

Combine like terms: -33 + -9 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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