3(2X-7)-5=3(X-3)+10

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Solution for 3(2X-7)-5=3(X-3)+10 equation: 


Simplifying
3(2X + -7) + -5 = 3(X + -3) + 10

Reorder the terms:
3(-7 + 2X) + -5 = 3(X + -3) + 10
(-7 * 3 + 2X * 3) + -5 = 3(X + -3) + 10
(-21 + 6X) + -5 = 3(X + -3) + 10

Reorder the terms:
-21 + -5 + 6X = 3(X + -3) + 10

Combine like terms: -21 + -5 = -26
-26 + 6X = 3(X + -3) + 10

Reorder the terms:
-26 + 6X = 3(-3 + X) + 10
-26 + 6X = (-3 * 3 + X * 3) + 10
-26 + 6X = (-9 + 3X) + 10

Reorder the terms:
-26 + 6X = -9 + 10 + 3X

Combine like terms: -9 + 10 = 1
-26 + 6X = 1 + 3X

Solving
-26 + 6X = 1 + 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.
-26 + 6X + -3X = 1 + 3X + -3X

Combine like terms: 6X + -3X = 3X
-26 + 3X = 1 + 3X + -3X

Combine like terms: 3X + -3X = 0
-26 + 3X = 1 + 0
-26 + 3X = 1

Add '26' to each side of the equation.
-26 + 26 + 3X = 1 + 26

Combine like terms: -26 + 26 = 0
0 + 3X = 1 + 26
3X = 1 + 26

Combine like terms: 1 + 26 = 27
3X = 27

Divide each side by '3'.
X = 9

Simplifying
X = 9

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