9-2(x-5)=x+10

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Solution for 9-2(x-5)=x+10 equation:


Simplifying
9 + -2(x + -5) = x + 10

Reorder the terms:
9 + -2(-5 + x) = x + 10
9 + (-5 * -2 + x * -2) = x + 10
9 + (10 + -2x) = x + 10

Combine like terms: 9 + 10 = 19
19 + -2x = x + 10

Reorder the terms:
19 + -2x = 10 + x

Solving
19 + -2x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
19 + -2x + -1x = 10 + x + -1x

Combine like terms: -2x + -1x = -3x
19 + -3x = 10 + x + -1x

Combine like terms: x + -1x = 0
19 + -3x = 10 + 0
19 + -3x = 10

Add '-19' to each side of the equation.
19 + -19 + -3x = 10 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = 10 + -19
-3x = 10 + -19

Combine like terms: 10 + -19 = -9
-3x = -9

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

Simplifying
x = 3

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