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

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Solution for 11x+4(1-x)=5x-2 equation:


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

Reorder the terms:
4 + 11x + -4x = 5x + -2

Combine like terms: 11x + -4x = 7x
4 + 7x = 5x + -2

Reorder the terms:
4 + 7x = -2 + 5x

Solving
4 + 7x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 7x + -5x = -2 + 5x + -5x

Combine like terms: 7x + -5x = 2x
4 + 2x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 2x = -2 + 0
4 + 2x = -2

Add '-4' to each side of the equation.
4 + -4 + 2x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = -2 + -4
2x = -2 + -4

Combine like terms: -2 + -4 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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