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

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


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

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

Combine like terms: 4 + -2 = 2
2 + -1x = 6 + -5(x + 4)

Reorder the terms:
2 + -1x = 6 + -5(4 + x)
2 + -1x = 6 + (4 * -5 + x * -5)
2 + -1x = 6 + (-20 + -5x)

Combine like terms: 6 + -20 = -14
2 + -1x = -14 + -5x

Solving
2 + -1x = -14 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2 + -1x + 5x = -14 + -5x + 5x

Combine like terms: -1x + 5x = 4x
2 + 4x = -14 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 4x = -14 + 0
2 + 4x = -14

Add '-2' to each side of the equation.
2 + -2 + 4x = -14 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -14 + -2
4x = -14 + -2

Combine like terms: -14 + -2 = -16
4x = -16

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

Simplifying
x = -4

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