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

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


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

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

Reorder the terms:
5 + 2x = 3(4 + 3x)
5 + 2x = (4 * 3 + 3x * 3)
5 + 2x = (12 + 9x)

Solving
5 + 2x = 12 + 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.
5 + 2x + -9x = 12 + 9x + -9x

Combine like terms: 2x + -9x = -7x
5 + -7x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -7x = 12 + 0
5 + -7x = 12

Add '-5' to each side of the equation.
5 + -5 + -7x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 12 + -5
-7x = 12 + -5

Combine like terms: 12 + -5 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1

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