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

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


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

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

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

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

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

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

Combine like terms: 5 + 1 = 6
6 + -4 + -1x + -2x + -3x = 2x + 10

Combine like terms: 6 + -4 = 2
2 + -1x + -2x + -3x = 2x + 10

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

Combine like terms: -3x + -3x = -6x
2 + -6x = 2x + 10

Reorder the terms:
2 + -6x = 10 + 2x

Solving
2 + -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.
2 + -6x + -2x = 10 + 2x + -2x

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

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

Add '-2' to each side of the equation.
2 + -2 + -8x = 10 + -2

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

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

Divide each side by '-8'.
x = -1

Simplifying
x = -1

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