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

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


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

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

Reorder the terms:
21 + -3x = 3(6 + x) + -7
21 + -3x = (6 * 3 + x * 3) + -7
21 + -3x = (18 + 3x) + -7

Reorder the terms:
21 + -3x = 18 + -7 + 3x

Combine like terms: 18 + -7 = 11
21 + -3x = 11 + 3x

Solving
21 + -3x = 11 + 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.
21 + -3x + -3x = 11 + 3x + -3x

Combine like terms: -3x + -3x = -6x
21 + -6x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -6x = 11 + 0
21 + -6x = 11

Add '-21' to each side of the equation.
21 + -21 + -6x = 11 + -21

Combine like terms: 21 + -21 = 0
0 + -6x = 11 + -21
-6x = 11 + -21

Combine like terms: 11 + -21 = -10
-6x = -10

Divide each side by '-6'.
x = 1.666666667

Simplifying
x = 1.666666667

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