3x-7=8+6(x+2)+1

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Solution for 3x-7=8+6(x+2)+1 equation:


Simplifying
3x + -7 = 8 + 6(x + 2) + 1

Reorder the terms:
-7 + 3x = 8 + 6(x + 2) + 1

Reorder the terms:
-7 + 3x = 8 + 6(2 + x) + 1
-7 + 3x = 8 + (2 * 6 + x * 6) + 1
-7 + 3x = 8 + (12 + 6x) + 1

Reorder the terms:
-7 + 3x = 8 + 12 + 1 + 6x

Combine like terms: 8 + 12 = 20
-7 + 3x = 20 + 1 + 6x

Combine like terms: 20 + 1 = 21
-7 + 3x = 21 + 6x

Solving
-7 + 3x = 21 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + 3x + -6x = 21 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-7 + -3x = 21 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -3x = 21 + 0
-7 + -3x = 21

Add '7' to each side of the equation.
-7 + 7 + -3x = 21 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 21 + 7
-3x = 21 + 7

Combine like terms: 21 + 7 = 28
-3x = 28

Divide each side by '-3'.
x = -9.333333333

Simplifying
x = -9.333333333

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