2(3X-5)-3=2(X-5)+33

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Solution for 2(3X-5)-3=2(X-5)+33 equation:


Simplifying
2(3X + -5) + -3 = 2(X + -5) + 33

Reorder the terms:
2(-5 + 3X) + -3 = 2(X + -5) + 33
(-5 * 2 + 3X * 2) + -3 = 2(X + -5) + 33
(-10 + 6X) + -3 = 2(X + -5) + 33

Reorder the terms:
-10 + -3 + 6X = 2(X + -5) + 33

Combine like terms: -10 + -3 = -13
-13 + 6X = 2(X + -5) + 33

Reorder the terms:
-13 + 6X = 2(-5 + X) + 33
-13 + 6X = (-5 * 2 + X * 2) + 33
-13 + 6X = (-10 + 2X) + 33

Reorder the terms:
-13 + 6X = -10 + 33 + 2X

Combine like terms: -10 + 33 = 23
-13 + 6X = 23 + 2X

Solving
-13 + 6X = 23 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
-13 + 6X + -2X = 23 + 2X + -2X

Combine like terms: 6X + -2X = 4X
-13 + 4X = 23 + 2X + -2X

Combine like terms: 2X + -2X = 0
-13 + 4X = 23 + 0
-13 + 4X = 23

Add '13' to each side of the equation.
-13 + 13 + 4X = 23 + 13

Combine like terms: -13 + 13 = 0
0 + 4X = 23 + 13
4X = 23 + 13

Combine like terms: 23 + 13 = 36
4X = 36

Divide each side by '4'.
X = 9

Simplifying
X = 9

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