11(x-3)=7x-9

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Solution for 11(x-3)=7x-9 equation:


Simplifying
11(x + -3) = 7x + -9

Reorder the terms:
11(-3 + x) = 7x + -9
(-3 * 11 + x * 11) = 7x + -9
(-33 + 11x) = 7x + -9

Reorder the terms:
-33 + 11x = -9 + 7x

Solving
-33 + 11x = -9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-33 + 11x + -7x = -9 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-33 + 4x = -9 + 0
-33 + 4x = -9

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

Combine like terms: -33 + 33 = 0
0 + 4x = -9 + 33
4x = -9 + 33

Combine like terms: -9 + 33 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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