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

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


Simplifying
(5x + 2) + -1(2x + -8) = 0

Reorder the terms:
(2 + 5x) + -1(2x + -8) = 0

Remove parenthesis around (2 + 5x)
2 + 5x + -1(2x + -8) = 0

Reorder the terms:
2 + 5x + -1(-8 + 2x) = 0
2 + 5x + (-8 * -1 + 2x * -1) = 0
2 + 5x + (8 + -2x) = 0

Reorder the terms:
2 + 8 + 5x + -2x = 0

Combine like terms: 2 + 8 = 10
10 + 5x + -2x = 0

Combine like terms: 5x + -2x = 3x
10 + 3x = 0

Solving
10 + 3x = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 0 + -10
3x = 0 + -10

Combine like terms: 0 + -10 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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