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

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


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

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

Reorder the terms:
-15 + -4 + 6X = 3(X + -5) + 5

Combine like terms: -15 + -4 = -19
-19 + 6X = 3(X + -5) + 5

Reorder the terms:
-19 + 6X = 3(-5 + X) + 5
-19 + 6X = (-5 * 3 + X * 3) + 5
-19 + 6X = (-15 + 3X) + 5

Reorder the terms:
-19 + 6X = -15 + 5 + 3X

Combine like terms: -15 + 5 = -10
-19 + 6X = -10 + 3X

Solving
-19 + 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.
-19 + 6X + -3X = -10 + 3X + -3X

Combine like terms: 6X + -3X = 3X
-19 + 3X = -10 + 3X + -3X

Combine like terms: 3X + -3X = 0
-19 + 3X = -10 + 0
-19 + 3X = -10

Add '19' to each side of the equation.
-19 + 19 + 3X = -10 + 19

Combine like terms: -19 + 19 = 0
0 + 3X = -10 + 19
3X = -10 + 19

Combine like terms: -10 + 19 = 9
3X = 9

Divide each side by '3'.
X = 3

Simplifying
X = 3

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