11-5(3-x)=-2(x+3)+6x

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Solution for 11-5(3-x)=-2(x+3)+6x equation:


Simplifying
11 + -5(3 + -1x) = -2(x + 3) + 6x
11 + (3 * -5 + -1x * -5) = -2(x + 3) + 6x
11 + (-15 + 5x) = -2(x + 3) + 6x

Combine like terms: 11 + -15 = -4
-4 + 5x = -2(x + 3) + 6x

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

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

Solving
-4 + 5x = -6 + 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.
-4 + 5x + -4x = -6 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-4 + 1x = -6 + 0
-4 + 1x = -6

Add '4' to each side of the equation.
-4 + 4 + 1x = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -6 + 4
1x = -6 + 4

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

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

Simplifying
x = -2

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