3(2x-5)-6=2x-17

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Solution for 3(2x-5)-6=2x-17 equation:


Simplifying
3(2x + -5) + -6 = 2x + -17

Reorder the terms:
3(-5 + 2x) + -6 = 2x + -17
(-5 * 3 + 2x * 3) + -6 = 2x + -17
(-15 + 6x) + -6 = 2x + -17

Reorder the terms:
-15 + -6 + 6x = 2x + -17

Combine like terms: -15 + -6 = -21
-21 + 6x = 2x + -17

Reorder the terms:
-21 + 6x = -17 + 2x

Solving
-21 + 6x = -17 + 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.
-21 + 6x + -2x = -17 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-21 + 4x = -17 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + 4x = -17 + 0
-21 + 4x = -17

Add '21' to each side of the equation.
-21 + 21 + 4x = -17 + 21

Combine like terms: -21 + 21 = 0
0 + 4x = -17 + 21
4x = -17 + 21

Combine like terms: -17 + 21 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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