2x-11-(3x-11)=5x-(4x+2)

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Solution for 2x-11-(3x-11)=5x-(4x+2) equation:


Simplifying
2x + -11 + -1(3x + -11) = 5x + -1(4x + 2)

Reorder the terms:
2x + -11 + -1(-11 + 3x) = 5x + -1(4x + 2)
2x + -11 + (-11 * -1 + 3x * -1) = 5x + -1(4x + 2)
2x + -11 + (11 + -3x) = 5x + -1(4x + 2)

Reorder the terms:
-11 + 11 + 2x + -3x = 5x + -1(4x + 2)

Combine like terms: -11 + 11 = 0
0 + 2x + -3x = 5x + -1(4x + 2)
2x + -3x = 5x + -1(4x + 2)

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

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

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

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

Solving
-1x = -2 + 1x

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.
-1x + -1x = -2 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
-2x = -2 + 0
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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