284=2x+5(6x-20)

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Solution for 284=2x+5(6x-20) equation:


Simplifying
284 = 2x + 5(6x + -20)

Reorder the terms:
284 = 2x + 5(-20 + 6x)
284 = 2x + (-20 * 5 + 6x * 5)
284 = 2x + (-100 + 30x)

Reorder the terms:
284 = -100 + 2x + 30x

Combine like terms: 2x + 30x = 32x
284 = -100 + 32x

Solving
284 = -100 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
284 + -32x = -100 + 32x + -32x

Combine like terms: 32x + -32x = 0
284 + -32x = -100 + 0
284 + -32x = -100

Add '-284' to each side of the equation.
284 + -284 + -32x = -100 + -284

Combine like terms: 284 + -284 = 0
0 + -32x = -100 + -284
-32x = -100 + -284

Combine like terms: -100 + -284 = -384
-32x = -384

Divide each side by '-32'.
x = 12

Simplifying
x = 12

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