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

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


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

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

Combine like terms: 10 + -2 = 8
2x + -1(8 + -3x) = x + -4
2x + (8 * -1 + -3x * -1) = x + -4
2x + (-8 + 3x) = x + -4

Reorder the terms:
-8 + 2x + 3x = x + -4

Combine like terms: 2x + 3x = 5x
-8 + 5x = x + -4

Reorder the terms:
-8 + 5x = -4 + x

Solving
-8 + 5x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 5x + -1x = -4 + x + -1x

Combine like terms: 5x + -1x = 4x
-8 + 4x = -4 + x + -1x

Combine like terms: x + -1x = 0
-8 + 4x = -4 + 0
-8 + 4x = -4

Add '8' to each side of the equation.
-8 + 8 + 4x = -4 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = -4 + 8
4x = -4 + 8

Combine like terms: -4 + 8 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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