3(2x-9)-2=3(x-8)+(1)

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Solution for 3(2x-9)-2=3(x-8)+(1) equation:


Simplifying
3(2x + -9) + -2 = 3(x + -8) + (1)

Reorder the terms:
3(-9 + 2x) + -2 = 3(x + -8) + (1)
(-9 * 3 + 2x * 3) + -2 = 3(x + -8) + (1)
(-27 + 6x) + -2 = 3(x + -8) + (1)

Reorder the terms:
-27 + -2 + 6x = 3(x + -8) + (1)

Combine like terms: -27 + -2 = -29
-29 + 6x = 3(x + -8) + (1)

Reorder the terms:
-29 + 6x = 3(-8 + x) + (1)
-29 + 6x = (-8 * 3 + x * 3) + (1)
-29 + 6x = (-24 + 3x) + (1)
-29 + 6x = -24 + 3x + 1

Reorder the terms:
-29 + 6x = -24 + 1 + 3x

Combine like terms: -24 + 1 = -23
-29 + 6x = -23 + 3x

Solving
-29 + 6x = -23 + 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 = -23 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-29 + 3x = -23 + 3x + -3x

Combine like terms: 3x + -3x = 0
-29 + 3x = -23 + 0
-29 + 3x = -23

Add '29' to each side of the equation.
-29 + 29 + 3x = -23 + 29

Combine like terms: -29 + 29 = 0
0 + 3x = -23 + 29
3x = -23 + 29

Combine like terms: -23 + 29 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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