(8x-7)-2(3x+5)=5

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Solution for (8x-7)-2(3x+5)=5 equation:


Simplifying
(8x + -7) + -2(3x + 5) = 5

Reorder the terms:
(-7 + 8x) + -2(3x + 5) = 5

Remove parenthesis around (-7 + 8x)
-7 + 8x + -2(3x + 5) = 5

Reorder the terms:
-7 + 8x + -2(5 + 3x) = 5
-7 + 8x + (5 * -2 + 3x * -2) = 5
-7 + 8x + (-10 + -6x) = 5

Reorder the terms:
-7 + -10 + 8x + -6x = 5

Combine like terms: -7 + -10 = -17
-17 + 8x + -6x = 5

Combine like terms: 8x + -6x = 2x
-17 + 2x = 5

Solving
-17 + 2x = 5

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 2x = 5 + 17

Combine like terms: -17 + 17 = 0
0 + 2x = 5 + 17
2x = 5 + 17

Combine like terms: 5 + 17 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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