6x+7(3x-2)=16-3x

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Solution for 6x+7(3x-2)=16-3x equation:


Simplifying
6x + 7(3x + -2) = 16 + -3x

Reorder the terms:
6x + 7(-2 + 3x) = 16 + -3x
6x + (-2 * 7 + 3x * 7) = 16 + -3x
6x + (-14 + 21x) = 16 + -3x

Reorder the terms:
-14 + 6x + 21x = 16 + -3x

Combine like terms: 6x + 21x = 27x
-14 + 27x = 16 + -3x

Solving
-14 + 27x = 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.
-14 + 27x + 3x = 16 + -3x + 3x

Combine like terms: 27x + 3x = 30x
-14 + 30x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
-14 + 30x = 16 + 0
-14 + 30x = 16

Add '14' to each side of the equation.
-14 + 14 + 30x = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 30x = 16 + 14
30x = 16 + 14

Combine like terms: 16 + 14 = 30
30x = 30

Divide each side by '30'.
x = 1

Simplifying
x = 1

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