6(x-3)+74=-2x

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Solution for 6(x-3)+74=-2x equation:


Simplifying
6(x + -3) + 74 = -2x

Reorder the terms:
6(-3 + x) + 74 = -2x
(-3 * 6 + x * 6) + 74 = -2x
(-18 + 6x) + 74 = -2x

Reorder the terms:
-18 + 74 + 6x = -2x

Combine like terms: -18 + 74 = 56
56 + 6x = -2x

Solving
56 + 6x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
56 + 6x + 2x = -2x + 2x

Combine like terms: 6x + 2x = 8x
56 + 8x = -2x + 2x

Combine like terms: -2x + 2x = 0
56 + 8x = 0

Add '-56' to each side of the equation.
56 + -56 + 8x = 0 + -56

Combine like terms: 56 + -56 = 0
0 + 8x = 0 + -56
8x = 0 + -56

Combine like terms: 0 + -56 = -56
8x = -56

Divide each side by '8'.
x = -7

Simplifying
x = -7

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