3-(x+8)=4-2(x+2)

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Solution for 3-(x+8)=4-2(x+2) equation:


Simplifying
3 + -1(x + 8) = 4 + -2(x + 2)

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

Combine like terms: 3 + -8 = -5
-5 + -1x = 4 + -2(x + 2)

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

Combine like terms: 4 + -4 = 0
-5 + -1x = 0 + -2x
-5 + -1x = -2x

Solving
-5 + -1x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-5 + -1x + 2x = -2x + 2x

Combine like terms: -1x + 2x = 1x
-5 + 1x = -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 1x = 0

Add '5' to each side of the equation.
-5 + 5 + 1x = 0 + 5

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

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

Divide each side by '1'.
x = 5

Simplifying
x = 5

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