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

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


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

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

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

Combine like terms: -8 + 5 = -3
-3 + 2x = 6 + -1(x + 2)

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

Combine like terms: 6 + -2 = 4
-3 + 2x = 4 + -1x

Solving
-3 + 2x = 4 + -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.
-3 + 2x + x = 4 + -1x + x

Combine like terms: 2x + x = 3x
-3 + 3x = 4 + -1x + x

Combine like terms: -1x + x = 0
-3 + 3x = 4 + 0
-3 + 3x = 4

Add '3' to each side of the equation.
-3 + 3 + 3x = 4 + 3

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

Combine like terms: 4 + 3 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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