8[4-9(x-1)]+5[(3x+2)-3]=16x-338

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Solution for 8[4-9(x-1)]+5[(3x+2)-3]=16x-338 equation:


Simplifying
8[4 + -9(x + -1)] + 5[(3x + 2) + -3] = 16x + -338

Reorder the terms:
8[4 + -9(-1 + x)] + 5[(3x + 2) + -3] = 16x + -338
8[4 + (-1 * -9 + x * -9)] + 5[(3x + 2) + -3] = 16x + -338
8[4 + (9 + -9x)] + 5[(3x + 2) + -3] = 16x + -338

Combine like terms: 4 + 9 = 13
8[13 + -9x] + 5[(3x + 2) + -3] = 16x + -338
[13 * 8 + -9x * 8] + 5[(3x + 2) + -3] = 16x + -338
[104 + -72x] + 5[(3x + 2) + -3] = 16x + -338

Reorder the terms:
104 + -72x + 5[(2 + 3x) + -3] = 16x + -338

Remove parenthesis around (2 + 3x)
104 + -72x + 5[2 + 3x + -3] = 16x + -338

Reorder the terms:
104 + -72x + 5[2 + -3 + 3x] = 16x + -338

Combine like terms: 2 + -3 = -1
104 + -72x + 5[-1 + 3x] = 16x + -338
104 + -72x + [-1 * 5 + 3x * 5] = 16x + -338
104 + -72x + [-5 + 15x] = 16x + -338

Reorder the terms:
104 + -5 + -72x + 15x = 16x + -338

Combine like terms: 104 + -5 = 99
99 + -72x + 15x = 16x + -338

Combine like terms: -72x + 15x = -57x
99 + -57x = 16x + -338

Reorder the terms:
99 + -57x = -338 + 16x

Solving
99 + -57x = -338 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
99 + -57x + -16x = -338 + 16x + -16x

Combine like terms: -57x + -16x = -73x
99 + -73x = -338 + 16x + -16x

Combine like terms: 16x + -16x = 0
99 + -73x = -338 + 0
99 + -73x = -338

Add '-99' to each side of the equation.
99 + -99 + -73x = -338 + -99

Combine like terms: 99 + -99 = 0
0 + -73x = -338 + -99
-73x = -338 + -99

Combine like terms: -338 + -99 = -437
-73x = -437

Divide each side by '-73'.
x = 5.98630137

Simplifying
x = 5.98630137

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