3x-5-6(x+1)=-4x+2

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Solution for 3x-5-6(x+1)=-4x+2 equation:


Simplifying
3x + -5 + -6(x + 1) = -4x + 2

Reorder the terms:
3x + -5 + -6(1 + x) = -4x + 2
3x + -5 + (1 * -6 + x * -6) = -4x + 2
3x + -5 + (-6 + -6x) = -4x + 2

Reorder the terms:
-5 + -6 + 3x + -6x = -4x + 2

Combine like terms: -5 + -6 = -11
-11 + 3x + -6x = -4x + 2

Combine like terms: 3x + -6x = -3x
-11 + -3x = -4x + 2

Reorder the terms:
-11 + -3x = 2 + -4x

Solving
-11 + -3x = 2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-11 + -3x + 4x = 2 + -4x + 4x

Combine like terms: -3x + 4x = 1x
-11 + 1x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-11 + 1x = 2 + 0
-11 + 1x = 2

Add '11' to each side of the equation.
-11 + 11 + 1x = 2 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = 2 + 11
1x = 2 + 11

Combine like terms: 2 + 11 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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