255=32(38x+23)-21(x-34)

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Solution for 255=32(38x+23)-21(x-34) equation:


Simplifying
255 = 32(38x + 23) + -21(x + -34)

Reorder the terms:
255 = 32(23 + 38x) + -21(x + -34)
255 = (23 * 32 + 38x * 32) + -21(x + -34)
255 = (736 + 1216x) + -21(x + -34)

Reorder the terms:
255 = 736 + 1216x + -21(-34 + x)
255 = 736 + 1216x + (-34 * -21 + x * -21)
255 = 736 + 1216x + (714 + -21x)

Reorder the terms:
255 = 736 + 714 + 1216x + -21x

Combine like terms: 736 + 714 = 1450
255 = 1450 + 1216x + -21x

Combine like terms: 1216x + -21x = 1195x
255 = 1450 + 1195x

Solving
255 = 1450 + 1195x

Solving for variable 'x'.

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

Add '-1195x' to each side of the equation.
255 + -1195x = 1450 + 1195x + -1195x

Combine like terms: 1195x + -1195x = 0
255 + -1195x = 1450 + 0
255 + -1195x = 1450

Add '-255' to each side of the equation.
255 + -255 + -1195x = 1450 + -255

Combine like terms: 255 + -255 = 0
0 + -1195x = 1450 + -255
-1195x = 1450 + -255

Combine like terms: 1450 + -255 = 1195
-1195x = 1195

Divide each side by '-1195'.
x = -1

Simplifying
x = -1

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