18+(2x+9)-(7x-10)=(16-3x)-(10+7-5)-8(9x+4)+11-7

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Solution for 18+(2x+9)-(7x-10)=(16-3x)-(10+7-5)-8(9x+4)+11-7 equation: 


Simplifying
18 + (2x + 9) + -1(7x + -10) = (16 + -3x) + -1(10 + 7 + -5) + -8(9x + 4) + 11 + -7

Reorder the terms:
18 + (9 + 2x) + -1(7x + -10) = (16 + -3x) + -1(10 + 7 + -5) + -8(9x + 4) + 11 + -7

Remove parenthesis around (9 + 2x)
18 + 9 + 2x + -1(7x + -10) = (16 + -3x) + -1(10 + 7 + -5) + -8(9x + 4) + 11 + -7

Reorder the terms:
18 + 9 + 2x + -1(-10 + 7x) = (16 + -3x) + -1(10 + 7 + -5) + -8(9x + 4) + 11 + -7
18 + 9 + 2x + (-10 * -1 + 7x * -1) = (16 + -3x) + -1(10 + 7 + -5) + -8(9x + 4) + 11 + -7
18 + 9 + 2x + (10 + -7x) = (16 + -3x) + -1(10 + 7 + -5) + -8(9x + 4) + 11 + -7

Reorder the terms:
18 + 9 + 10 + 2x + -7x = (16 + -3x) + -1(10 + 7 + -5) + -8(9x + 4) + 11 + -7

Combine like terms: 18 + 9 = 27
27 + 10 + 2x + -7x = (16 + -3x) + -1(10 + 7 + -5) + -8(9x + 4) + 11 + -7

Combine like terms: 27 + 10 = 37
37 + 2x + -7x = (16 + -3x) + -1(10 + 7 + -5) + -8(9x + 4) + 11 + -7

Combine like terms: 2x + -7x = -5x
37 + -5x = (16 + -3x) + -1(10 + 7 + -5) + -8(9x + 4) + 11 + -7

Remove parenthesis around (16 + -3x)
37 + -5x = 16 + -3x + -1(10 + 7 + -5) + -8(9x + 4) + 11 + -7

Combine like terms: 10 + 7 = 17
37 + -5x = 16 + -3x + -1(17 + -5) + -8(9x + 4) + 11 + -7

Combine like terms: 17 + -5 = 12
37 + -5x = 16 + -3x + -1(12) + -8(9x + 4) + 11 + -7

Multiply -1 * 12
37 + -5x = 16 + -3x + -12 + -8(9x + 4) + 11 + -7

Reorder the terms:
37 + -5x = 16 + -3x + -12 + -8(4 + 9x) + 11 + -7
37 + -5x = 16 + -3x + -12 + (4 * -8 + 9x * -8) + 11 + -7
37 + -5x = 16 + -3x + -12 + (-32 + -72x) + 11 + -7

Reorder the terms:
37 + -5x = 16 + -12 + -32 + 11 + -7 + -3x + -72x

Combine like terms: 16 + -12 = 4
37 + -5x = 4 + -32 + 11 + -7 + -3x + -72x

Combine like terms: 4 + -32 = -28
37 + -5x = -28 + 11 + -7 + -3x + -72x

Combine like terms: -28 + 11 = -17
37 + -5x = -17 + -7 + -3x + -72x

Combine like terms: -17 + -7 = -24
37 + -5x = -24 + -3x + -72x

Combine like terms: -3x + -72x = -75x
37 + -5x = -24 + -75x

Solving
37 + -5x = -24 + -75x

Solving for variable 'x'.

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

Add '75x' to each side of the equation.
37 + -5x + 75x = -24 + -75x + 75x

Combine like terms: -5x + 75x = 70x
37 + 70x = -24 + -75x + 75x

Combine like terms: -75x + 75x = 0
37 + 70x = -24 + 0
37 + 70x = -24

Add '-37' to each side of the equation.
37 + -37 + 70x = -24 + -37

Combine like terms: 37 + -37 = 0
0 + 70x = -24 + -37
70x = -24 + -37

Combine like terms: -24 + -37 = -61
70x = -61

Divide each side by '70'.
x = -0.8714285714

Simplifying
x = -0.8714285714

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