3(X-4)-(X-7)=1

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Solution for 3(X-4)-(X-7)=1 equation: 


Simplifying
3(X + -4) + -1(X + -7) = 1

Reorder the terms:
3(-4 + X) + -1(X + -7) = 1
(-4 * 3 + X * 3) + -1(X + -7) = 1
(-12 + 3X) + -1(X + -7) = 1

Reorder the terms:
-12 + 3X + -1(-7 + X) = 1
-12 + 3X + (-7 * -1 + X * -1) = 1
-12 + 3X + (7 + -1X) = 1

Reorder the terms:
-12 + 7 + 3X + -1X = 1

Combine like terms: -12 + 7 = -5
-5 + 3X + -1X = 1

Combine like terms: 3X + -1X = 2X
-5 + 2X = 1

Solving
-5 + 2X = 1

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + 5 + 2X = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 2X = 1 + 5
2X = 1 + 5

Combine like terms: 1 + 5 = 6
2X = 6

Divide each side by '2'.
X = 3

Simplifying
X = 3

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