2(x+5)-3(x-8)=0

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Solution for 2(x+5)-3(x-8)=0 equation:


Simplifying
2(x + 5) + -3(x + -8) = 0

Reorder the terms:
2(5 + x) + -3(x + -8) = 0
(5 * 2 + x * 2) + -3(x + -8) = 0
(10 + 2x) + -3(x + -8) = 0

Reorder the terms:
10 + 2x + -3(-8 + x) = 0
10 + 2x + (-8 * -3 + x * -3) = 0
10 + 2x + (24 + -3x) = 0

Reorder the terms:
10 + 24 + 2x + -3x = 0

Combine like terms: 10 + 24 = 34
34 + 2x + -3x = 0

Combine like terms: 2x + -3x = -1x
34 + -1x = 0

Solving
34 + -1x = 0

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + -1x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -1x = 0 + -34
-1x = 0 + -34

Combine like terms: 0 + -34 = -34
-1x = -34

Divide each side by '-1'.
x = 34

Simplifying
x = 34

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