7[3-4(x-1)]+5[(5x+7)-9]=16x-341

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Solution for 7[3-4(x-1)]+5[(5x+7)-9]=16x-341 equation:


Simplifying
7[3 + -4(x + -1)] + 5[(5x + 7) + -9] = 16x + -341

Reorder the terms:
7[3 + -4(-1 + x)] + 5[(5x + 7) + -9] = 16x + -341
7[3 + (-1 * -4 + x * -4)] + 5[(5x + 7) + -9] = 16x + -341
7[3 + (4 + -4x)] + 5[(5x + 7) + -9] = 16x + -341

Combine like terms: 3 + 4 = 7
7[7 + -4x] + 5[(5x + 7) + -9] = 16x + -341
[7 * 7 + -4x * 7] + 5[(5x + 7) + -9] = 16x + -341
[49 + -28x] + 5[(5x + 7) + -9] = 16x + -341

Reorder the terms:
49 + -28x + 5[(7 + 5x) + -9] = 16x + -341

Remove parenthesis around (7 + 5x)
49 + -28x + 5[7 + 5x + -9] = 16x + -341

Reorder the terms:
49 + -28x + 5[7 + -9 + 5x] = 16x + -341

Combine like terms: 7 + -9 = -2
49 + -28x + 5[-2 + 5x] = 16x + -341
49 + -28x + [-2 * 5 + 5x * 5] = 16x + -341
49 + -28x + [-10 + 25x] = 16x + -341

Reorder the terms:
49 + -10 + -28x + 25x = 16x + -341

Combine like terms: 49 + -10 = 39
39 + -28x + 25x = 16x + -341

Combine like terms: -28x + 25x = -3x
39 + -3x = 16x + -341

Reorder the terms:
39 + -3x = -341 + 16x

Solving
39 + -3x = -341 + 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.
39 + -3x + -16x = -341 + 16x + -16x

Combine like terms: -3x + -16x = -19x
39 + -19x = -341 + 16x + -16x

Combine like terms: 16x + -16x = 0
39 + -19x = -341 + 0
39 + -19x = -341

Add '-39' to each side of the equation.
39 + -39 + -19x = -341 + -39

Combine like terms: 39 + -39 = 0
0 + -19x = -341 + -39
-19x = -341 + -39

Combine like terms: -341 + -39 = -380
-19x = -380

Divide each side by '-19'.
x = 20

Simplifying
x = 20

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