376=2(7x+9)+2(4x-8)

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Solution for 376=2(7x+9)+2(4x-8) equation:


Simplifying
376 = 2(7x + 9) + 2(4x + -8)

Reorder the terms:
376 = 2(9 + 7x) + 2(4x + -8)
376 = (9 * 2 + 7x * 2) + 2(4x + -8)
376 = (18 + 14x) + 2(4x + -8)

Reorder the terms:
376 = 18 + 14x + 2(-8 + 4x)
376 = 18 + 14x + (-8 * 2 + 4x * 2)
376 = 18 + 14x + (-16 + 8x)

Reorder the terms:
376 = 18 + -16 + 14x + 8x

Combine like terms: 18 + -16 = 2
376 = 2 + 14x + 8x

Combine like terms: 14x + 8x = 22x
376 = 2 + 22x

Solving
376 = 2 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
376 + -22x = 2 + 22x + -22x

Combine like terms: 22x + -22x = 0
376 + -22x = 2 + 0
376 + -22x = 2

Add '-376' to each side of the equation.
376 + -376 + -22x = 2 + -376

Combine like terms: 376 + -376 = 0
0 + -22x = 2 + -376
-22x = 2 + -376

Combine like terms: 2 + -376 = -374
-22x = -374

Divide each side by '-22'.
x = 17

Simplifying
x = 17

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