2x+4+3x=3(5x+9)+3x

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Solution for 2x+4+3x=3(5x+9)+3x equation:


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

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

Combine like terms: 2x + 3x = 5x
4 + 5x = 3(5x + 9) + 3x

Reorder the terms:
4 + 5x = 3(9 + 5x) + 3x
4 + 5x = (9 * 3 + 5x * 3) + 3x
4 + 5x = (27 + 15x) + 3x

Combine like terms: 15x + 3x = 18x
4 + 5x = 27 + 18x

Solving
4 + 5x = 27 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
4 + 5x + -18x = 27 + 18x + -18x

Combine like terms: 5x + -18x = -13x
4 + -13x = 27 + 18x + -18x

Combine like terms: 18x + -18x = 0
4 + -13x = 27 + 0
4 + -13x = 27

Add '-4' to each side of the equation.
4 + -4 + -13x = 27 + -4

Combine like terms: 4 + -4 = 0
0 + -13x = 27 + -4
-13x = 27 + -4

Combine like terms: 27 + -4 = 23
-13x = 23

Divide each side by '-13'.
x = -1.769230769

Simplifying
x = -1.769230769

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