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

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


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

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

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

Combine like terms: 9 + 5 = 14
4 + 2x = 14 + -9x

Solving
4 + 2x = 14 + -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.
4 + 2x + 9x = 14 + -9x + 9x

Combine like terms: 2x + 9x = 11x
4 + 11x = 14 + -9x + 9x

Combine like terms: -9x + 9x = 0
4 + 11x = 14 + 0
4 + 11x = 14

Add '-4' to each side of the equation.
4 + -4 + 11x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 11x = 14 + -4
11x = 14 + -4

Combine like terms: 14 + -4 = 10
11x = 10

Divide each side by '11'.
x = 0.9090909091

Simplifying
x = 0.9090909091

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