(5x+2)-(-5)=8x-13

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Solution for (5x+2)-(-5)=8x-13 equation:


Simplifying
(5x + 2) + -1(-5) = 8x + -13

Reorder the terms:
(2 + 5x) + -1(-5) = 8x + -13

Remove parenthesis around (2 + 5x)
2 + 5x + -1(-5) = 8x + -13

Multiply -1 * -5
2 + 5x + 5 = 8x + -13

Reorder the terms:
2 + 5 + 5x = 8x + -13

Combine like terms: 2 + 5 = 7
7 + 5x = 8x + -13

Reorder the terms:
7 + 5x = -13 + 8x

Solving
7 + 5x = -13 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7 + 5x + -8x = -13 + 8x + -8x

Combine like terms: 5x + -8x = -3x
7 + -3x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -3x = -13 + 0
7 + -3x = -13

Add '-7' to each side of the equation.
7 + -7 + -3x = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -13 + -7
-3x = -13 + -7

Combine like terms: -13 + -7 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667

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