5x-11=3(3x-5)

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Solution for 5x-11=3(3x-5) equation:


Simplifying
5x + -11 = 3(3x + -5)

Reorder the terms:
-11 + 5x = 3(3x + -5)

Reorder the terms:
-11 + 5x = 3(-5 + 3x)
-11 + 5x = (-5 * 3 + 3x * 3)
-11 + 5x = (-15 + 9x)

Solving
-11 + 5x = -15 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-11 + 5x + -9x = -15 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-11 + -4x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
-11 + -4x = -15 + 0
-11 + -4x = -15

Add '11' to each side of the equation.
-11 + 11 + -4x = -15 + 11

Combine like terms: -11 + 11 = 0
0 + -4x = -15 + 11
-4x = -15 + 11

Combine like terms: -15 + 11 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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