6+3(x-7)=7-3(x-3)

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


Simplifying
6 + 3(x + -7) = 7 + -3(x + -3)

Reorder the terms:
6 + 3(-7 + x) = 7 + -3(x + -3)
6 + (-7 * 3 + x * 3) = 7 + -3(x + -3)
6 + (-21 + 3x) = 7 + -3(x + -3)

Combine like terms: 6 + -21 = -15
-15 + 3x = 7 + -3(x + -3)

Reorder the terms:
-15 + 3x = 7 + -3(-3 + x)
-15 + 3x = 7 + (-3 * -3 + x * -3)
-15 + 3x = 7 + (9 + -3x)

Combine like terms: 7 + 9 = 16
-15 + 3x = 16 + -3x

Solving
-15 + 3x = 16 + -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.
-15 + 3x + 3x = 16 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-15 + 6x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
-15 + 6x = 16 + 0
-15 + 6x = 16

Add '15' to each side of the equation.
-15 + 15 + 6x = 16 + 15

Combine like terms: -15 + 15 = 0
0 + 6x = 16 + 15
6x = 16 + 15

Combine like terms: 16 + 15 = 31
6x = 31

Divide each side by '6'.
x = 5.166666667

Simplifying
x = 5.166666667

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