3[x-2]=5[x-2]-7

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Solution for 3[x-2]=5[x-2]-7 equation:


Simplifying
3[x + -2] = 5[x + -2] + -7

Reorder the terms:
3[-2 + x] = 5[x + -2] + -7
[-2 * 3 + x * 3] = 5[x + -2] + -7
[-6 + 3x] = 5[x + -2] + -7

Reorder the terms:
-6 + 3x = 5[-2 + x] + -7
-6 + 3x = [-2 * 5 + x * 5] + -7
-6 + 3x = [-10 + 5x] + -7

Reorder the terms:
-6 + 3x = -10 + -7 + 5x

Combine like terms: -10 + -7 = -17
-6 + 3x = -17 + 5x

Solving
-6 + 3x = -17 + 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.
-6 + 3x + -5x = -17 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = -17 + 0
-6 + -2x = -17

Add '6' to each side of the equation.
-6 + 6 + -2x = -17 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -17 + 6
-2x = -17 + 6

Combine like terms: -17 + 6 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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