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

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


Simplifying
2(2 + -3x) = 3(3 + x) + 4
(2 * 2 + -3x * 2) = 3(3 + x) + 4
(4 + -6x) = 3(3 + x) + 4
4 + -6x = (3 * 3 + x * 3) + 4
4 + -6x = (9 + 3x) + 4

Reorder the terms:
4 + -6x = 9 + 4 + 3x

Combine like terms: 9 + 4 = 13
4 + -6x = 13 + 3x

Solving
4 + -6x = 13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + -6x + -3x = 13 + 3x + -3x

Combine like terms: -6x + -3x = -9x
4 + -9x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -9x = 13 + 0
4 + -9x = 13

Add '-4' to each side of the equation.
4 + -4 + -9x = 13 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 13 + -4
-9x = 13 + -4

Combine like terms: 13 + -4 = 9
-9x = 9

Divide each side by '-9'.
x = -1

Simplifying
x = -1

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