2x-7=3(2-3x)

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Solution for 2x-7=3(2-3x) equation:


Simplifying
2x + -7 = 3(2 + -3x)

Reorder the terms:
-7 + 2x = 3(2 + -3x)
-7 + 2x = (2 * 3 + -3x * 3)
-7 + 2x = (6 + -9x)

Solving
-7 + 2x = 6 + -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.
-7 + 2x + 9x = 6 + -9x + 9x

Combine like terms: 2x + 9x = 11x
-7 + 11x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
-7 + 11x = 6 + 0
-7 + 11x = 6

Add '7' to each side of the equation.
-7 + 7 + 11x = 6 + 7

Combine like terms: -7 + 7 = 0
0 + 11x = 6 + 7
11x = 6 + 7

Combine like terms: 6 + 7 = 13
11x = 13

Divide each side by '11'.
x = 1.181818182

Simplifying
x = 1.181818182

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