5-1(x+3)=2(x+5)

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Solution for 5-1(x+3)=2(x+5) equation: 


Simplifying
5 + -1(x + 3) = 2(x + 5)

Reorder the terms:
5 + -1(3 + x) = 2(x + 5)
5 + (3 * -1 + x * -1) = 2(x + 5)
5 + (-3 + -1x) = 2(x + 5)

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

Reorder the terms:
2 + -1x = 2(5 + x)
2 + -1x = (5 * 2 + x * 2)
2 + -1x = (10 + 2x)

Solving
2 + -1x = 10 + 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.
2 + -1x + -2x = 10 + 2x + -2x

Combine like terms: -1x + -2x = -3x
2 + -3x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -3x = 10 + 0
2 + -3x = 10

Add '-2' to each side of the equation.
2 + -2 + -3x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 10 + -2
-3x = 10 + -2

Combine like terms: 10 + -2 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

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