85x-(28x-104)+(43x+214)=218

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Solution for 85x-(28x-104)+(43x+214)=218 equation:


Simplifying
85x + -1(28x + -104) + (43x + 214) = 218

Reorder the terms:
85x + -1(-104 + 28x) + (43x + 214) = 218
85x + (-104 * -1 + 28x * -1) + (43x + 214) = 218
85x + (104 + -28x) + (43x + 214) = 218

Reorder the terms:
85x + 104 + -28x + (214 + 43x) = 218

Remove parenthesis around (214 + 43x)
85x + 104 + -28x + 214 + 43x = 218

Reorder the terms:
104 + 214 + 85x + -28x + 43x = 218

Combine like terms: 104 + 214 = 318
318 + 85x + -28x + 43x = 218

Combine like terms: 85x + -28x = 57x
318 + 57x + 43x = 218

Combine like terms: 57x + 43x = 100x
318 + 100x = 218

Solving
318 + 100x = 218

Solving for variable 'x'.

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

Add '-318' to each side of the equation.
318 + -318 + 100x = 218 + -318

Combine like terms: 318 + -318 = 0
0 + 100x = 218 + -318
100x = 218 + -318

Combine like terms: 218 + -318 = -100
100x = -100

Divide each side by '100'.
x = -1

Simplifying
x = -1

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