(6x-5)+8=2(x-5)

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Solution for (6x-5)+8=2(x-5) equation:


Simplifying
(6x + -5) + 8 = 2(x + -5)

Reorder the terms:
(-5 + 6x) + 8 = 2(x + -5)

Remove parenthesis around (-5 + 6x)
-5 + 6x + 8 = 2(x + -5)

Reorder the terms:
-5 + 8 + 6x = 2(x + -5)

Combine like terms: -5 + 8 = 3
3 + 6x = 2(x + -5)

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

Solving
3 + 6x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 6x + -2x = -10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
3 + 4x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 4x = -10 + 0
3 + 4x = -10

Add '-3' to each side of the equation.
3 + -3 + 4x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = -10 + -3
4x = -10 + -3

Combine like terms: -10 + -3 = -13
4x = -13

Divide each side by '4'.
x = -3.25

Simplifying
x = -3.25

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