10-2(x-4)=x+23

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Solution for 10-2(x-4)=x+23 equation: 


Simplifying
10 + -2(x + -4) = x + 23

Reorder the terms:
10 + -2(-4 + x) = x + 23
10 + (-4 * -2 + x * -2) = x + 23
10 + (8 + -2x) = x + 23

Combine like terms: 10 + 8 = 18
18 + -2x = x + 23

Reorder the terms:
18 + -2x = 23 + x

Solving
18 + -2x = 23 + 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.
18 + -2x + -1x = 23 + x + -1x

Combine like terms: -2x + -1x = -3x
18 + -3x = 23 + x + -1x

Combine like terms: x + -1x = 0
18 + -3x = 23 + 0
18 + -3x = 23

Add '-18' to each side of the equation.
18 + -18 + -3x = 23 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = 23 + -18
-3x = 23 + -18

Combine like terms: 23 + -18 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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