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

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


Simplifying
3(3 + -3x) + 4 = 5(x + 2)
(3 * 3 + -3x * 3) + 4 = 5(x + 2)
(9 + -9x) + 4 = 5(x + 2)

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

Combine like terms: 9 + 4 = 13
13 + -9x = 5(x + 2)

Reorder the terms:
13 + -9x = 5(2 + x)
13 + -9x = (2 * 5 + x * 5)
13 + -9x = (10 + 5x)

Solving
13 + -9x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
13 + -9x + -5x = 10 + 5x + -5x

Combine like terms: -9x + -5x = -14x
13 + -14x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -14x = 10 + 0
13 + -14x = 10

Add '-13' to each side of the equation.
13 + -13 + -14x = 10 + -13

Combine like terms: 13 + -13 = 0
0 + -14x = 10 + -13
-14x = 10 + -13

Combine like terms: 10 + -13 = -3
-14x = -3

Divide each side by '-14'.
x = 0.2142857143

Simplifying
x = 0.2142857143

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