5[x-2]=6[x-8]

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Solution for 5[x-2]=6[x-8] equation:


Simplifying
5[x + -2] = 6[x + -8]

Reorder the terms:
5[-2 + x] = 6[x + -8]
[-2 * 5 + x * 5] = 6[x + -8]
[-10 + 5x] = 6[x + -8]

Reorder the terms:
-10 + 5x = 6[-8 + x]
-10 + 5x = [-8 * 6 + x * 6]
-10 + 5x = [-48 + 6x]

Solving
-10 + 5x = -48 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-10 + 5x + -6x = -48 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-10 + -1x = -48 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + -1x = -48 + 0
-10 + -1x = -48

Add '10' to each side of the equation.
-10 + 10 + -1x = -48 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -48 + 10
-1x = -48 + 10

Combine like terms: -48 + 10 = -38
-1x = -38

Divide each side by '-1'.
x = 38

Simplifying
x = 38

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