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

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


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

Reorder the terms:
4(-2 + x) + -6 = 6 + -1(x + 5)
(-2 * 4 + x * 4) + -6 = 6 + -1(x + 5)
(-8 + 4x) + -6 = 6 + -1(x + 5)

Reorder the terms:
-8 + -6 + 4x = 6 + -1(x + 5)

Combine like terms: -8 + -6 = -14
-14 + 4x = 6 + -1(x + 5)

Reorder the terms:
-14 + 4x = 6 + -1(5 + x)
-14 + 4x = 6 + (5 * -1 + x * -1)
-14 + 4x = 6 + (-5 + -1x)

Combine like terms: 6 + -5 = 1
-14 + 4x = 1 + -1x

Solving
-14 + 4x = 1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-14 + 4x + x = 1 + -1x + x

Combine like terms: 4x + x = 5x
-14 + 5x = 1 + -1x + x

Combine like terms: -1x + x = 0
-14 + 5x = 1 + 0
-14 + 5x = 1

Add '14' to each side of the equation.
-14 + 14 + 5x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 1 + 14
5x = 1 + 14

Combine like terms: 1 + 14 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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