6(x-8)+18=2(x-5)

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Solution for 6(x-8)+18=2(x-5) equation:


Simplifying
6(x + -8) + 18 = 2(x + -5)

Reorder the terms:
6(-8 + x) + 18 = 2(x + -5)
(-8 * 6 + x * 6) + 18 = 2(x + -5)
(-48 + 6x) + 18 = 2(x + -5)

Reorder the terms:
-48 + 18 + 6x = 2(x + -5)

Combine like terms: -48 + 18 = -30
-30 + 6x = 2(x + -5)

Reorder the terms:
-30 + 6x = 2(-5 + x)
-30 + 6x = (-5 * 2 + x * 2)
-30 + 6x = (-10 + 2x)

Solving
-30 + 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.
-30 + 6x + -2x = -10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-30 + 4x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-30 + 4x = -10 + 0
-30 + 4x = -10

Add '30' to each side of the equation.
-30 + 30 + 4x = -10 + 30

Combine like terms: -30 + 30 = 0
0 + 4x = -10 + 30
4x = -10 + 30

Combine like terms: -10 + 30 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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