5-2(x+4)=3+2(x+2)

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Solution for 5-2(x+4)=3+2(x+2) equation:


Simplifying
5 + -2(x + 4) = 3 + 2(x + 2)

Reorder the terms:
5 + -2(4 + x) = 3 + 2(x + 2)
5 + (4 * -2 + x * -2) = 3 + 2(x + 2)
5 + (-8 + -2x) = 3 + 2(x + 2)

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

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

Combine like terms: 3 + 4 = 7
-3 + -2x = 7 + 2x

Solving
-3 + -2x = 7 + 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.
-3 + -2x + -2x = 7 + 2x + -2x

Combine like terms: -2x + -2x = -4x
-3 + -4x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + -4x = 7 + 0
-3 + -4x = 7

Add '3' to each side of the equation.
-3 + 3 + -4x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 7 + 3
-4x = 7 + 3

Combine like terms: 7 + 3 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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