x-2(x+5)=8-3x

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Solution for x-2(x+5)=8-3x equation:


Simplifying
x + -2(x + 5) = 8 + -3x

Reorder the terms:
x + -2(5 + x) = 8 + -3x
x + (5 * -2 + x * -2) = 8 + -3x
x + (-10 + -2x) = 8 + -3x

Reorder the terms:
-10 + x + -2x = 8 + -3x

Combine like terms: x + -2x = -1x
-10 + -1x = 8 + -3x

Solving
-10 + -1x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-10 + -1x + 3x = 8 + -3x + 3x

Combine like terms: -1x + 3x = 2x
-10 + 2x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 2x = 8 + 0
-10 + 2x = 8

Add '10' to each side of the equation.
-10 + 10 + 2x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 8 + 10
2x = 8 + 10

Combine like terms: 8 + 10 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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