6(x-3)=-4x+82

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Solution for 6(x-3)=-4x+82 equation:


Simplifying
6(x + -3) = -4x + 82

Reorder the terms:
6(-3 + x) = -4x + 82
(-3 * 6 + x * 6) = -4x + 82
(-18 + 6x) = -4x + 82

Reorder the terms:
-18 + 6x = 82 + -4x

Solving
-18 + 6x = 82 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-18 + 6x + 4x = 82 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-18 + 10x = 82 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 10x = 82 + 0
-18 + 10x = 82

Add '18' to each side of the equation.
-18 + 18 + 10x = 82 + 18

Combine like terms: -18 + 18 = 0
0 + 10x = 82 + 18
10x = 82 + 18

Combine like terms: 82 + 18 = 100
10x = 100

Divide each side by '10'.
x = 10

Simplifying
x = 10

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