7[6-9(x-1)]+4[(5x+2)-3]=11x-341

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Solution for 7[6-9(x-1)]+4[(5x+2)-3]=11x-341 equation: 


Simplifying
7[6 + -9(x + -1)] + 4[(5x + 2) + -3] = 11x + -341

Reorder the terms:
7[6 + -9(-1 + x)] + 4[(5x + 2) + -3] = 11x + -341
7[6 + (-1 * -9 + x * -9)] + 4[(5x + 2) + -3] = 11x + -341
7[6 + (9 + -9x)] + 4[(5x + 2) + -3] = 11x + -341

Combine like terms: 6 + 9 = 15
7[15 + -9x] + 4[(5x + 2) + -3] = 11x + -341
[15 * 7 + -9x * 7] + 4[(5x + 2) + -3] = 11x + -341
[105 + -63x] + 4[(5x + 2) + -3] = 11x + -341

Reorder the terms:
105 + -63x + 4[(2 + 5x) + -3] = 11x + -341

Remove parenthesis around (2 + 5x)
105 + -63x + 4[2 + 5x + -3] = 11x + -341

Reorder the terms:
105 + -63x + 4[2 + -3 + 5x] = 11x + -341

Combine like terms: 2 + -3 = -1
105 + -63x + 4[-1 + 5x] = 11x + -341
105 + -63x + [-1 * 4 + 5x * 4] = 11x + -341
105 + -63x + [-4 + 20x] = 11x + -341

Reorder the terms:
105 + -4 + -63x + 20x = 11x + -341

Combine like terms: 105 + -4 = 101
101 + -63x + 20x = 11x + -341

Combine like terms: -63x + 20x = -43x
101 + -43x = 11x + -341

Reorder the terms:
101 + -43x = -341 + 11x

Solving
101 + -43x = -341 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
101 + -43x + -11x = -341 + 11x + -11x

Combine like terms: -43x + -11x = -54x
101 + -54x = -341 + 11x + -11x

Combine like terms: 11x + -11x = 0
101 + -54x = -341 + 0
101 + -54x = -341

Add '-101' to each side of the equation.
101 + -101 + -54x = -341 + -101

Combine like terms: 101 + -101 = 0
0 + -54x = -341 + -101
-54x = -341 + -101

Combine like terms: -341 + -101 = -442
-54x = -442

Divide each side by '-54'.
x = 8.185185185

Simplifying
x = 8.185185185

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