330=6x+6(-5x+7)

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Solution for 330=6x+6(-5x+7) equation:


Simplifying
330 = 6x + 6(-5x + 7)

Reorder the terms:
330 = 6x + 6(7 + -5x)
330 = 6x + (7 * 6 + -5x * 6)
330 = 6x + (42 + -30x)

Reorder the terms:
330 = 42 + 6x + -30x

Combine like terms: 6x + -30x = -24x
330 = 42 + -24x

Solving
330 = 42 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
330 + 24x = 42 + -24x + 24x

Combine like terms: -24x + 24x = 0
330 + 24x = 42 + 0
330 + 24x = 42

Add '-330' to each side of the equation.
330 + -330 + 24x = 42 + -330

Combine like terms: 330 + -330 = 0
0 + 24x = 42 + -330
24x = 42 + -330

Combine like terms: 42 + -330 = -288
24x = -288

Divide each side by '24'.
x = -12

Simplifying
x = -12

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