3(13x-182)=3(-x+14)

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Solution for 3(13x-182)=3(-x+14) equation:


Simplifying
3(13x + -182) = 3(-1x + 14)

Reorder the terms:
3(-182 + 13x) = 3(-1x + 14)
(-182 * 3 + 13x * 3) = 3(-1x + 14)
(-546 + 39x) = 3(-1x + 14)

Reorder the terms:
-546 + 39x = 3(14 + -1x)
-546 + 39x = (14 * 3 + -1x * 3)
-546 + 39x = (42 + -3x)

Solving
-546 + 39x = 42 + -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.
-546 + 39x + 3x = 42 + -3x + 3x

Combine like terms: 39x + 3x = 42x
-546 + 42x = 42 + -3x + 3x

Combine like terms: -3x + 3x = 0
-546 + 42x = 42 + 0
-546 + 42x = 42

Add '546' to each side of the equation.
-546 + 546 + 42x = 42 + 546

Combine like terms: -546 + 546 = 0
0 + 42x = 42 + 546
42x = 42 + 546

Combine like terms: 42 + 546 = 588
42x = 588

Divide each side by '42'.
x = 14

Simplifying
x = 14

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