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

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


Simplifying
2(x + 5) + -1(x + -3) = 8

Reorder the terms:
2(5 + x) + -1(x + -3) = 8
(5 * 2 + x * 2) + -1(x + -3) = 8
(10 + 2x) + -1(x + -3) = 8

Reorder the terms:
10 + 2x + -1(-3 + x) = 8
10 + 2x + (-3 * -1 + x * -1) = 8
10 + 2x + (3 + -1x) = 8

Reorder the terms:
10 + 3 + 2x + -1x = 8

Combine like terms: 10 + 3 = 13
13 + 2x + -1x = 8

Combine like terms: 2x + -1x = 1x
13 + 1x = 8

Solving
13 + 1x = 8

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 1x = 8 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 8 + -13
1x = 8 + -13

Combine like terms: 8 + -13 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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