3x-7=8+9(x+2)

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Solution for 3x-7=8+9(x+2) equation:


Simplifying
3x + -7 = 8 + 9(x + 2)

Reorder the terms:
-7 + 3x = 8 + 9(x + 2)

Reorder the terms:
-7 + 3x = 8 + 9(2 + x)
-7 + 3x = 8 + (2 * 9 + x * 9)
-7 + 3x = 8 + (18 + 9x)

Combine like terms: 8 + 18 = 26
-7 + 3x = 26 + 9x

Solving
-7 + 3x = 26 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
-7 + 3x + -9x = 26 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-7 + -6x = 26 + 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + -6x = 26 + 0
-7 + -6x = 26

Add '7' to each side of the equation.
-7 + 7 + -6x = 26 + 7

Combine like terms: -7 + 7 = 0
0 + -6x = 26 + 7
-6x = 26 + 7

Combine like terms: 26 + 7 = 33
-6x = 33

Divide each side by '-6'.
x = -5.5

Simplifying
x = -5.5

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