3(2x-4)-5=3(x-5)+25

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Solution for 3(2x-4)-5=3(x-5)+25 equation:


Simplifying
3(2x + -4) + -5 = 3(x + -5) + 25

Reorder the terms:
3(-4 + 2x) + -5 = 3(x + -5) + 25
(-4 * 3 + 2x * 3) + -5 = 3(x + -5) + 25
(-12 + 6x) + -5 = 3(x + -5) + 25

Reorder the terms:
-12 + -5 + 6x = 3(x + -5) + 25

Combine like terms: -12 + -5 = -17
-17 + 6x = 3(x + -5) + 25

Reorder the terms:
-17 + 6x = 3(-5 + x) + 25
-17 + 6x = (-5 * 3 + x * 3) + 25
-17 + 6x = (-15 + 3x) + 25

Reorder the terms:
-17 + 6x = -15 + 25 + 3x

Combine like terms: -15 + 25 = 10
-17 + 6x = 10 + 3x

Solving
-17 + 6x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-17 + 6x + -3x = 10 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-17 + 3x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 3x = 10 + 0
-17 + 3x = 10

Add '17' to each side of the equation.
-17 + 17 + 3x = 10 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = 10 + 17
3x = 10 + 17

Combine like terms: 10 + 17 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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