10-(x-5)-(2x-1)-(3x+4)=x+x+5+5

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Solution for 10-(x-5)-(2x-1)-(3x+4)=x+x+5+5 equation:


Simplifying
10 + -1(x + -5) + -1(2x + -1) + -1(3x + 4) = x + x + 5 + 5

Reorder the terms:
10 + -1(-5 + x) + -1(2x + -1) + -1(3x + 4) = x + x + 5 + 5
10 + (-5 * -1 + x * -1) + -1(2x + -1) + -1(3x + 4) = x + x + 5 + 5
10 + (5 + -1x) + -1(2x + -1) + -1(3x + 4) = x + x + 5 + 5

Reorder the terms:
10 + 5 + -1x + -1(-1 + 2x) + -1(3x + 4) = x + x + 5 + 5
10 + 5 + -1x + (-1 * -1 + 2x * -1) + -1(3x + 4) = x + x + 5 + 5
10 + 5 + -1x + (1 + -2x) + -1(3x + 4) = x + x + 5 + 5

Reorder the terms:
10 + 5 + -1x + 1 + -2x + -1(4 + 3x) = x + x + 5 + 5
10 + 5 + -1x + 1 + -2x + (4 * -1 + 3x * -1) = x + x + 5 + 5
10 + 5 + -1x + 1 + -2x + (-4 + -3x) = x + x + 5 + 5

Reorder the terms:
10 + 5 + 1 + -4 + -1x + -2x + -3x = x + x + 5 + 5

Combine like terms: 10 + 5 = 15
15 + 1 + -4 + -1x + -2x + -3x = x + x + 5 + 5

Combine like terms: 15 + 1 = 16
16 + -4 + -1x + -2x + -3x = x + x + 5 + 5

Combine like terms: 16 + -4 = 12
12 + -1x + -2x + -3x = x + x + 5 + 5

Combine like terms: -1x + -2x = -3x
12 + -3x + -3x = x + x + 5 + 5

Combine like terms: -3x + -3x = -6x
12 + -6x = x + x + 5 + 5

Reorder the terms:
12 + -6x = 5 + 5 + x + x

Combine like terms: 5 + 5 = 10
12 + -6x = 10 + x + x

Combine like terms: x + x = 2x
12 + -6x = 10 + 2x

Solving
12 + -6x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + -6x + -2x = 10 + 2x + -2x

Combine like terms: -6x + -2x = -8x
12 + -8x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -8x = 10 + 0
12 + -8x = 10

Add '-12' to each side of the equation.
12 + -12 + -8x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = 10 + -12
-8x = 10 + -12

Combine like terms: 10 + -12 = -2
-8x = -2

Divide each side by '-8'.
x = 0.25

Simplifying
x = 0.25

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