11-3(2-3x)=2(2x-5)

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Solution for 11-3(2-3x)=2(2x-5) equation:


Simplifying
11 + -3(2 + -3x) = 2(2x + -5)
11 + (2 * -3 + -3x * -3) = 2(2x + -5)
11 + (-6 + 9x) = 2(2x + -5)

Combine like terms: 11 + -6 = 5
5 + 9x = 2(2x + -5)

Reorder the terms:
5 + 9x = 2(-5 + 2x)
5 + 9x = (-5 * 2 + 2x * 2)
5 + 9x = (-10 + 4x)

Solving
5 + 9x = -10 + 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.
5 + 9x + -4x = -10 + 4x + -4x

Combine like terms: 9x + -4x = 5x
5 + 5x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + 5x = -10 + 0
5 + 5x = -10

Add '-5' to each side of the equation.
5 + -5 + 5x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = -10 + -5
5x = -10 + -5

Combine like terms: -10 + -5 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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