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

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


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

Reorder the terms:
5(4 + x) + (x + -5) = 10
(4 * 5 + x * 5) + (x + -5) = 10
(20 + 5x) + (x + -5) = 10

Reorder the terms:
20 + 5x + (-5 + x) = 10

Remove parenthesis around (-5 + x)
20 + 5x + -5 + x = 10

Reorder the terms:
20 + -5 + 5x + x = 10

Combine like terms: 20 + -5 = 15
15 + 5x + x = 10

Combine like terms: 5x + x = 6x
15 + 6x = 10

Solving
15 + 6x = 10

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 6x = 10 + -15

Combine like terms: 15 + -15 = 0
0 + 6x = 10 + -15
6x = 10 + -15

Combine like terms: 10 + -15 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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