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

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


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

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

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

Combine like terms: -6 + 5 = -1
-1 + 2x = 3[x + -1]

Reorder the terms:
-1 + 2x = 3[-1 + x]
-1 + 2x = [-1 * 3 + x * 3]
-1 + 2x = [-3 + 3x]

Solving
-1 + 2x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 2x + -3x = -3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-1 + -1x = -3 + 0
-1 + -1x = -3

Add '1' to each side of the equation.
-1 + 1 + -1x = -3 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = -3 + 1
-1x = -3 + 1

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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