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

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


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

Reorder the terms:
3(-5 + 3x) = 4x + 2
(-5 * 3 + 3x * 3) = 4x + 2
(-15 + 9x) = 4x + 2

Reorder the terms:
-15 + 9x = 2 + 4x

Solving
-15 + 9x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + 9x + -4x = 2 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-15 + 5x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 5x = 2 + 0
-15 + 5x = 2

Add '15' to each side of the equation.
-15 + 15 + 5x = 2 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 2 + 15
5x = 2 + 15

Combine like terms: 2 + 15 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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