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

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


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

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

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

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

Solving
7 + 3x = 20 + 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 = 20 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
7 + -3x = 20 + 0
7 + -3x = 20

Add '-7' to each side of the equation.
7 + -7 + -3x = 20 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 20 + -7
-3x = 20 + -7

Combine like terms: 20 + -7 = 13
-3x = 13

Divide each side by '-3'.
x = -4.333333333

Simplifying
x = -4.333333333

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