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

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


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

Reorder the terms:
2(10 + x) + -3(x + -3) = 10
(10 * 2 + x * 2) + -3(x + -3) = 10
(20 + 2x) + -3(x + -3) = 10

Reorder the terms:
20 + 2x + -3(-3 + x) = 10
20 + 2x + (-3 * -3 + x * -3) = 10
20 + 2x + (9 + -3x) = 10

Reorder the terms:
20 + 9 + 2x + -3x = 10

Combine like terms: 20 + 9 = 29
29 + 2x + -3x = 10

Combine like terms: 2x + -3x = -1x
29 + -1x = 10

Solving
29 + -1x = 10

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + -1x = 10 + -29

Combine like terms: 29 + -29 = 0
0 + -1x = 10 + -29
-1x = 10 + -29

Combine like terms: 10 + -29 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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