3+2(x-6)=11-(6x-4)

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Solution for 3+2(x-6)=11-(6x-4) equation:


Simplifying
3 + 2(x + -6) = 11 + -1(6x + -4)

Reorder the terms:
3 + 2(-6 + x) = 11 + -1(6x + -4)
3 + (-6 * 2 + x * 2) = 11 + -1(6x + -4)
3 + (-12 + 2x) = 11 + -1(6x + -4)

Combine like terms: 3 + -12 = -9
-9 + 2x = 11 + -1(6x + -4)

Reorder the terms:
-9 + 2x = 11 + -1(-4 + 6x)
-9 + 2x = 11 + (-4 * -1 + 6x * -1)
-9 + 2x = 11 + (4 + -6x)

Combine like terms: 11 + 4 = 15
-9 + 2x = 15 + -6x

Solving
-9 + 2x = 15 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-9 + 2x + 6x = 15 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-9 + 8x = 15 + -6x + 6x

Combine like terms: -6x + 6x = 0
-9 + 8x = 15 + 0
-9 + 8x = 15

Add '9' to each side of the equation.
-9 + 9 + 8x = 15 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = 15 + 9
8x = 15 + 9

Combine like terms: 15 + 9 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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