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

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


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

Reorder the terms:
6(-6 + x) + 8 = 2(x + -4)
(-6 * 6 + x * 6) + 8 = 2(x + -4)
(-36 + 6x) + 8 = 2(x + -4)

Reorder the terms:
-36 + 8 + 6x = 2(x + -4)

Combine like terms: -36 + 8 = -28
-28 + 6x = 2(x + -4)

Reorder the terms:
-28 + 6x = 2(-4 + x)
-28 + 6x = (-4 * 2 + x * 2)
-28 + 6x = (-8 + 2x)

Solving
-28 + 6x = -8 + 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.
-28 + 6x + -2x = -8 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-28 + 4x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-28 + 4x = -8 + 0
-28 + 4x = -8

Add '28' to each side of the equation.
-28 + 28 + 4x = -8 + 28

Combine like terms: -28 + 28 = 0
0 + 4x = -8 + 28
4x = -8 + 28

Combine like terms: -8 + 28 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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