3(2x-6)-5=3(x-2)-5

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Solution for 3(2x-6)-5=3(x-2)-5 equation:


Simplifying
3(2x + -6) + -5 = 3(x + -2) + -5

Reorder the terms:
3(-6 + 2x) + -5 = 3(x + -2) + -5
(-6 * 3 + 2x * 3) + -5 = 3(x + -2) + -5
(-18 + 6x) + -5 = 3(x + -2) + -5

Reorder the terms:
-18 + -5 + 6x = 3(x + -2) + -5

Combine like terms: -18 + -5 = -23
-23 + 6x = 3(x + -2) + -5

Reorder the terms:
-23 + 6x = 3(-2 + x) + -5
-23 + 6x = (-2 * 3 + x * 3) + -5
-23 + 6x = (-6 + 3x) + -5

Reorder the terms:
-23 + 6x = -6 + -5 + 3x

Combine like terms: -6 + -5 = -11
-23 + 6x = -11 + 3x

Solving
-23 + 6x = -11 + 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.
-23 + 6x + -3x = -11 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-23 + 3x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-23 + 3x = -11 + 0
-23 + 3x = -11

Add '23' to each side of the equation.
-23 + 23 + 3x = -11 + 23

Combine like terms: -23 + 23 = 0
0 + 3x = -11 + 23
3x = -11 + 23

Combine like terms: -11 + 23 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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