3[x-6]+8=5x-4

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Solution for 3[x-6]+8=5x-4 equation:


Simplifying
3[x + -6] + 8 = 5x + -4

Reorder the terms:
3[-6 + x] + 8 = 5x + -4
[-6 * 3 + x * 3] + 8 = 5x + -4
[-18 + 3x] + 8 = 5x + -4

Reorder the terms:
-18 + 8 + 3x = 5x + -4

Combine like terms: -18 + 8 = -10
-10 + 3x = 5x + -4

Reorder the terms:
-10 + 3x = -4 + 5x

Solving
-10 + 3x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 3x + -5x = -4 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-10 + -2x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -2x = -4 + 0
-10 + -2x = -4

Add '10' to each side of the equation.
-10 + 10 + -2x = -4 + 10

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

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

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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