2(x-100)+x+3(x-80)=2680

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Solution for 2(x-100)+x+3(x-80)=2680 equation: 


Simplifying
2(x + -100) + x + 3(x + -80) = 2680

Reorder the terms:
2(-100 + x) + x + 3(x + -80) = 2680
(-100 * 2 + x * 2) + x + 3(x + -80) = 2680
(-200 + 2x) + x + 3(x + -80) = 2680

Reorder the terms:
-200 + 2x + x + 3(-80 + x) = 2680
-200 + 2x + x + (-80 * 3 + x * 3) = 2680
-200 + 2x + x + (-240 + 3x) = 2680

Reorder the terms:
-200 + -240 + 2x + x + 3x = 2680

Combine like terms: -200 + -240 = -440
-440 + 2x + x + 3x = 2680

Combine like terms: 2x + x = 3x
-440 + 3x + 3x = 2680

Combine like terms: 3x + 3x = 6x
-440 + 6x = 2680

Solving
-440 + 6x = 2680

Solving for variable 'x'.

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

Add '440' to each side of the equation.
-440 + 440 + 6x = 2680 + 440

Combine like terms: -440 + 440 = 0
0 + 6x = 2680 + 440
6x = 2680 + 440

Combine like terms: 2680 + 440 = 3120
6x = 3120

Divide each side by '6'.
x = 520

Simplifying
x = 520

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