3(x-4)+3x+2(x+4)=280

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Solution for 3(x-4)+3x+2(x+4)=280 equation:


Simplifying
3(x + -4) + 3x + 2(x + 4) = 280

Reorder the terms:
3(-4 + x) + 3x + 2(x + 4) = 280
(-4 * 3 + x * 3) + 3x + 2(x + 4) = 280
(-12 + 3x) + 3x + 2(x + 4) = 280

Reorder the terms:
-12 + 3x + 3x + 2(4 + x) = 280
-12 + 3x + 3x + (4 * 2 + x * 2) = 280
-12 + 3x + 3x + (8 + 2x) = 280

Reorder the terms:
-12 + 8 + 3x + 3x + 2x = 280

Combine like terms: -12 + 8 = -4
-4 + 3x + 3x + 2x = 280

Combine like terms: 3x + 3x = 6x
-4 + 6x + 2x = 280

Combine like terms: 6x + 2x = 8x
-4 + 8x = 280

Solving
-4 + 8x = 280

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 8x = 280 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 280 + 4
8x = 280 + 4

Combine like terms: 280 + 4 = 284
8x = 284

Divide each side by '8'.
x = 35.5

Simplifying
x = 35.5

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