5[x-3-493-x]=4(1+6x)+x

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Solution for 5[x-3-493-x]=4(1+6x)+x equation:


Simplifying
5[x + -3 + -493 + -1x] = 4(1 + 6x) + x

Reorder the terms:
5[-3 + -493 + x + -1x] = 4(1 + 6x) + x

Combine like terms: -3 + -493 = -496
5[-496 + x + -1x] = 4(1 + 6x) + x

Combine like terms: x + -1x = 0
5[-496 + 0] = 4(1 + 6x) + x
5[-496] = 4(1 + 6x) + x

Multiply 5 * -496
-2480 = 4(1 + 6x) + x
-2480 = (1 * 4 + 6x * 4) + x
-2480 = (4 + 24x) + x

Combine like terms: 24x + x = 25x
-2480 = 4 + 25x

Solving
-2480 = 4 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
-2480 + -25x = 4 + 25x + -25x

Combine like terms: 25x + -25x = 0
-2480 + -25x = 4 + 0
-2480 + -25x = 4

Add '2480' to each side of the equation.
-2480 + 2480 + -25x = 4 + 2480

Combine like terms: -2480 + 2480 = 0
0 + -25x = 4 + 2480
-25x = 4 + 2480

Combine like terms: 4 + 2480 = 2484
-25x = 2484

Divide each side by '-25'.
x = -99.36

Simplifying
x = -99.36

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