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

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


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

Reorder the terms:
3[-4 + x] = [2x + 5]
[-4 * 3 + x * 3] = [2x + 5]
[-12 + 3x] = [2x + 5]

Reorder the terms:
-12 + 3x = [5 + 2x]

Remove brackets around [5 + 2x]
-12 + 3x = 5 + 2x

Solving
-12 + 3x = 5 + 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.
-12 + 3x + -2x = 5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-12 + 1x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 1x = 5 + 0
-12 + 1x = 5

Add '12' to each side of the equation.
-12 + 12 + 1x = 5 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 5 + 12
1x = 5 + 12

Combine like terms: 5 + 12 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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