2(x+4)-3(x-5)=10

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Solution for 2(x+4)-3(x-5)=10 equation: 


Simplifying
2(x + 4) + -3(x + -5) = 10

Reorder the terms:
2(4 + x) + -3(x + -5) = 10
(4 * 2 + x * 2) + -3(x + -5) = 10
(8 + 2x) + -3(x + -5) = 10

Reorder the terms:
8 + 2x + -3(-5 + x) = 10
8 + 2x + (-5 * -3 + x * -3) = 10
8 + 2x + (15 + -3x) = 10

Reorder the terms:
8 + 15 + 2x + -3x = 10

Combine like terms: 8 + 15 = 23
23 + 2x + -3x = 10

Combine like terms: 2x + -3x = -1x
23 + -1x = 10

Solving
23 + -1x = 10

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + -1x = 10 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = 10 + -23
-1x = 10 + -23

Combine like terms: 10 + -23 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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