3+2(X-5)=3(2X-11)

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Solution for 3+2(X-5)=3(2X-11) equation:


Simplifying
3 + 2(X + -5) = 3(2X + -11)

Reorder the terms:
3 + 2(-5 + X) = 3(2X + -11)
3 + (-5 * 2 + X * 2) = 3(2X + -11)
3 + (-10 + 2X) = 3(2X + -11)

Combine like terms: 3 + -10 = -7
-7 + 2X = 3(2X + -11)

Reorder the terms:
-7 + 2X = 3(-11 + 2X)
-7 + 2X = (-11 * 3 + 2X * 3)
-7 + 2X = (-33 + 6X)

Solving
-7 + 2X = -33 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
-7 + 2X + -6X = -33 + 6X + -6X

Combine like terms: 2X + -6X = -4X
-7 + -4X = -33 + 6X + -6X

Combine like terms: 6X + -6X = 0
-7 + -4X = -33 + 0
-7 + -4X = -33

Add '7' to each side of the equation.
-7 + 7 + -4X = -33 + 7

Combine like terms: -7 + 7 = 0
0 + -4X = -33 + 7
-4X = -33 + 7

Combine like terms: -33 + 7 = -26
-4X = -26

Divide each side by '-4'.
X = 6.5

Simplifying
X = 6.5

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