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

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Solution for 5-(x+4)=11-6(3x-4) equation:


Simplifying
5 + -1(x + 4) = 11 + -6(3x + -4)

Reorder the terms:
5 + -1(4 + x) = 11 + -6(3x + -4)
5 + (4 * -1 + x * -1) = 11 + -6(3x + -4)
5 + (-4 + -1x) = 11 + -6(3x + -4)

Combine like terms: 5 + -4 = 1
1 + -1x = 11 + -6(3x + -4)

Reorder the terms:
1 + -1x = 11 + -6(-4 + 3x)
1 + -1x = 11 + (-4 * -6 + 3x * -6)
1 + -1x = 11 + (24 + -18x)

Combine like terms: 11 + 24 = 35
1 + -1x = 35 + -18x

Solving
1 + -1x = 35 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
1 + -1x + 18x = 35 + -18x + 18x

Combine like terms: -1x + 18x = 17x
1 + 17x = 35 + -18x + 18x

Combine like terms: -18x + 18x = 0
1 + 17x = 35 + 0
1 + 17x = 35

Add '-1' to each side of the equation.
1 + -1 + 17x = 35 + -1

Combine like terms: 1 + -1 = 0
0 + 17x = 35 + -1
17x = 35 + -1

Combine like terms: 35 + -1 = 34
17x = 34

Divide each side by '17'.
x = 2

Simplifying
x = 2

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