3(2x-5)=9+4x-17

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Solution for 3(2x-5)=9+4x-17 equation:


Simplifying
3(2x + -5) = 9 + 4x + -17

Reorder the terms:
3(-5 + 2x) = 9 + 4x + -17
(-5 * 3 + 2x * 3) = 9 + 4x + -17
(-15 + 6x) = 9 + 4x + -17

Reorder the terms:
-15 + 6x = 9 + -17 + 4x

Combine like terms: 9 + -17 = -8
-15 + 6x = -8 + 4x

Solving
-15 + 6x = -8 + 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 + 6x + -4x = -8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-15 + 2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 2x = -8 + 0
-15 + 2x = -8

Add '15' to each side of the equation.
-15 + 15 + 2x = -8 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = -8 + 15
2x = -8 + 15

Combine like terms: -8 + 15 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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