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

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


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

Reorder the terms:
3[3 + x] + -2[x + -1] = 5[x + -5]
[3 * 3 + x * 3] + -2[x + -1] = 5[x + -5]
[9 + 3x] + -2[x + -1] = 5[x + -5]

Reorder the terms:
9 + 3x + -2[-1 + x] = 5[x + -5]
9 + 3x + [-1 * -2 + x * -2] = 5[x + -5]
9 + 3x + [2 + -2x] = 5[x + -5]

Reorder the terms:
9 + 2 + 3x + -2x = 5[x + -5]

Combine like terms: 9 + 2 = 11
11 + 3x + -2x = 5[x + -5]

Combine like terms: 3x + -2x = 1x
11 + 1x = 5[x + -5]

Reorder the terms:
11 + 1x = 5[-5 + x]
11 + 1x = [-5 * 5 + x * 5]
11 + 1x = [-25 + 5x]

Solving
11 + 1x = -25 + 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.
11 + 1x + -5x = -25 + 5x + -5x

Combine like terms: 1x + -5x = -4x
11 + -4x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -4x = -25 + 0
11 + -4x = -25

Add '-11' to each side of the equation.
11 + -11 + -4x = -25 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = -25 + -11
-4x = -25 + -11

Combine like terms: -25 + -11 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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