3(2x-9)-2=3(x-5)+4

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Solution for 3(2x-9)-2=3(x-5)+4 equation: 


Simplifying
3(2x + -9) + -2 = 3(x + -5) + 4

Reorder the terms:
3(-9 + 2x) + -2 = 3(x + -5) + 4
(-9 * 3 + 2x * 3) + -2 = 3(x + -5) + 4
(-27 + 6x) + -2 = 3(x + -5) + 4

Reorder the terms:
-27 + -2 + 6x = 3(x + -5) + 4

Combine like terms: -27 + -2 = -29
-29 + 6x = 3(x + -5) + 4

Reorder the terms:
-29 + 6x = 3(-5 + x) + 4
-29 + 6x = (-5 * 3 + x * 3) + 4
-29 + 6x = (-15 + 3x) + 4

Reorder the terms:
-29 + 6x = -15 + 4 + 3x

Combine like terms: -15 + 4 = -11
-29 + 6x = -11 + 3x

Solving
-29 + 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.
-29 + 6x + -3x = -11 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-29 + 3x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-29 + 3x = -11 + 0
-29 + 3x = -11

Add '29' to each side of the equation.
-29 + 29 + 3x = -11 + 29

Combine like terms: -29 + 29 = 0
0 + 3x = -11 + 29
3x = -11 + 29

Combine like terms: -11 + 29 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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