11-4(2x-3)+3(x-10)-(3+x)-1=0

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Solution for 11-4(2x-3)+3(x-10)-(3+x)-1=0 equation:


Simplifying
11 + -4(2x + -3) + 3(x + -10) + -1(3 + x) + -1 = 0

Reorder the terms:
11 + -4(-3 + 2x) + 3(x + -10) + -1(3 + x) + -1 = 0
11 + (-3 * -4 + 2x * -4) + 3(x + -10) + -1(3 + x) + -1 = 0
11 + (12 + -8x) + 3(x + -10) + -1(3 + x) + -1 = 0

Reorder the terms:
11 + 12 + -8x + 3(-10 + x) + -1(3 + x) + -1 = 0
11 + 12 + -8x + (-10 * 3 + x * 3) + -1(3 + x) + -1 = 0
11 + 12 + -8x + (-30 + 3x) + -1(3 + x) + -1 = 0
11 + 12 + -8x + -30 + 3x + (3 * -1 + x * -1) + -1 = 0
11 + 12 + -8x + -30 + 3x + (-3 + -1x) + -1 = 0

Reorder the terms:
11 + 12 + -30 + -3 + -1 + -8x + 3x + -1x = 0

Combine like terms: 11 + 12 = 23
23 + -30 + -3 + -1 + -8x + 3x + -1x = 0

Combine like terms: 23 + -30 = -7
-7 + -3 + -1 + -8x + 3x + -1x = 0

Combine like terms: -7 + -3 = -10
-10 + -1 + -8x + 3x + -1x = 0

Combine like terms: -10 + -1 = -11
-11 + -8x + 3x + -1x = 0

Combine like terms: -8x + 3x = -5x
-11 + -5x + -1x = 0

Combine like terms: -5x + -1x = -6x
-11 + -6x = 0

Solving
-11 + -6x = 0

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + -6x = 0 + 11

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

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

Divide each side by '-6'.
x = -1.833333333

Simplifying
x = -1.833333333

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