11+2(3x-4)=17-(4x-6)

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Solution for 11+2(3x-4)=17-(4x-6) equation:


Simplifying
11 + 2(3x + -4) = 17 + -1(4x + -6)

Reorder the terms:
11 + 2(-4 + 3x) = 17 + -1(4x + -6)
11 + (-4 * 2 + 3x * 2) = 17 + -1(4x + -6)
11 + (-8 + 6x) = 17 + -1(4x + -6)

Combine like terms: 11 + -8 = 3
3 + 6x = 17 + -1(4x + -6)

Reorder the terms:
3 + 6x = 17 + -1(-6 + 4x)
3 + 6x = 17 + (-6 * -1 + 4x * -1)
3 + 6x = 17 + (6 + -4x)

Combine like terms: 17 + 6 = 23
3 + 6x = 23 + -4x

Solving
3 + 6x = 23 + -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.
3 + 6x + 4x = 23 + -4x + 4x

Combine like terms: 6x + 4x = 10x
3 + 10x = 23 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 10x = 23 + 0
3 + 10x = 23

Add '-3' to each side of the equation.
3 + -3 + 10x = 23 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = 23 + -3
10x = 23 + -3

Combine like terms: 23 + -3 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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