29-[3+8x-3(x+2)]=4(2x-5)-[7(x-1)-5x+15]

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Solution for 29-[3+8x-3(x+2)]=4(2x-5)-[7(x-1)-5x+15] equation:


Simplifying
29 + -1[3 + 8x + -3(x + 2)] = 4(2x + -5) + -1[7(x + -1) + -5x + 15]

Reorder the terms:
29 + -1[3 + 8x + -3(2 + x)] = 4(2x + -5) + -1[7(x + -1) + -5x + 15]
29 + -1[3 + 8x + (2 * -3 + x * -3)] = 4(2x + -5) + -1[7(x + -1) + -5x + 15]
29 + -1[3 + 8x + (-6 + -3x)] = 4(2x + -5) + -1[7(x + -1) + -5x + 15]

Reorder the terms:
29 + -1[3 + -6 + 8x + -3x] = 4(2x + -5) + -1[7(x + -1) + -5x + 15]

Combine like terms: 3 + -6 = -3
29 + -1[-3 + 8x + -3x] = 4(2x + -5) + -1[7(x + -1) + -5x + 15]

Combine like terms: 8x + -3x = 5x
29 + -1[-3 + 5x] = 4(2x + -5) + -1[7(x + -1) + -5x + 15]
29 + [-3 * -1 + 5x * -1] = 4(2x + -5) + -1[7(x + -1) + -5x + 15]
29 + [3 + -5x] = 4(2x + -5) + -1[7(x + -1) + -5x + 15]

Combine like terms: 29 + 3 = 32
32 + -5x = 4(2x + -5) + -1[7(x + -1) + -5x + 15]

Reorder the terms:
32 + -5x = 4(-5 + 2x) + -1[7(x + -1) + -5x + 15]
32 + -5x = (-5 * 4 + 2x * 4) + -1[7(x + -1) + -5x + 15]
32 + -5x = (-20 + 8x) + -1[7(x + -1) + -5x + 15]

Reorder the terms:
32 + -5x = -20 + 8x + -1[7(-1 + x) + -5x + 15]
32 + -5x = -20 + 8x + -1[(-1 * 7 + x * 7) + -5x + 15]
32 + -5x = -20 + 8x + -1[(-7 + 7x) + -5x + 15]

Reorder the terms:
32 + -5x = -20 + 8x + -1[-7 + 15 + 7x + -5x]

Combine like terms: -7 + 15 = 8
32 + -5x = -20 + 8x + -1[8 + 7x + -5x]

Combine like terms: 7x + -5x = 2x
32 + -5x = -20 + 8x + -1[8 + 2x]
32 + -5x = -20 + 8x + [8 * -1 + 2x * -1]
32 + -5x = -20 + 8x + [-8 + -2x]

Reorder the terms:
32 + -5x = -20 + -8 + 8x + -2x

Combine like terms: -20 + -8 = -28
32 + -5x = -28 + 8x + -2x

Combine like terms: 8x + -2x = 6x
32 + -5x = -28 + 6x

Solving
32 + -5x = -28 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
32 + -5x + -6x = -28 + 6x + -6x

Combine like terms: -5x + -6x = -11x
32 + -11x = -28 + 6x + -6x

Combine like terms: 6x + -6x = 0
32 + -11x = -28 + 0
32 + -11x = -28

Add '-32' to each side of the equation.
32 + -32 + -11x = -28 + -32

Combine like terms: 32 + -32 = 0
0 + -11x = -28 + -32
-11x = -28 + -32

Combine like terms: -28 + -32 = -60
-11x = -60

Divide each side by '-11'.
x = 5.454545455

Simplifying
x = 5.454545455

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