2x-5=3(2-3x)-4

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Solution for 2x-5=3(2-3x)-4 equation:


Simplifying
2x + -5 = 3(2 + -3x) + -4

Reorder the terms:
-5 + 2x = 3(2 + -3x) + -4
-5 + 2x = (2 * 3 + -3x * 3) + -4
-5 + 2x = (6 + -9x) + -4

Reorder the terms:
-5 + 2x = 6 + -4 + -9x

Combine like terms: 6 + -4 = 2
-5 + 2x = 2 + -9x

Solving
-5 + 2x = 2 + -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.
-5 + 2x + 9x = 2 + -9x + 9x

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

Combine like terms: -9x + 9x = 0
-5 + 11x = 2 + 0
-5 + 11x = 2

Add '5' to each side of the equation.
-5 + 5 + 11x = 2 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = 2 + 5
11x = 2 + 5

Combine like terms: 2 + 5 = 7
11x = 7

Divide each side by '11'.
x = 0.6363636364

Simplifying
x = 0.6363636364

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