2[3x-4]=5[x-1]

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Solution for 2[3x-4]=5[x-1] equation:


Simplifying
2[3x + -4] = 5[x + -1]

Reorder the terms:
2[-4 + 3x] = 5[x + -1]
[-4 * 2 + 3x * 2] = 5[x + -1]
[-8 + 6x] = 5[x + -1]

Reorder the terms:
-8 + 6x = 5[-1 + x]
-8 + 6x = [-1 * 5 + x * 5]
-8 + 6x = [-5 + 5x]

Solving
-8 + 6x = -5 + 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.
-8 + 6x + -5x = -5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-8 + 1x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 1x = -5 + 0
-8 + 1x = -5

Add '8' to each side of the equation.
-8 + 8 + 1x = -5 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -5 + 8
1x = -5 + 8

Combine like terms: -5 + 8 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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