5(x-4)+6=2(x-8)

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Solution for 5(x-4)+6=2(x-8) equation:


Simplifying
5(x + -4) + 6 = 2(x + -8)

Reorder the terms:
5(-4 + x) + 6 = 2(x + -8)
(-4 * 5 + x * 5) + 6 = 2(x + -8)
(-20 + 5x) + 6 = 2(x + -8)

Reorder the terms:
-20 + 6 + 5x = 2(x + -8)

Combine like terms: -20 + 6 = -14
-14 + 5x = 2(x + -8)

Reorder the terms:
-14 + 5x = 2(-8 + x)
-14 + 5x = (-8 * 2 + x * 2)
-14 + 5x = (-16 + 2x)

Solving
-14 + 5x = -16 + 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.
-14 + 5x + -2x = -16 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-14 + 3x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 3x = -16 + 0
-14 + 3x = -16

Add '14' to each side of the equation.
-14 + 14 + 3x = -16 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = -16 + 14
3x = -16 + 14

Combine like terms: -16 + 14 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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