3(x-2)-3=5x-1

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Solution for 3(x-2)-3=5x-1 equation:


Simplifying
3(x + -2) + -3 = 5x + -1

Reorder the terms:
3(-2 + x) + -3 = 5x + -1
(-2 * 3 + x * 3) + -3 = 5x + -1
(-6 + 3x) + -3 = 5x + -1

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

Combine like terms: -6 + -3 = -9
-9 + 3x = 5x + -1

Reorder the terms:
-9 + 3x = -1 + 5x

Solving
-9 + 3x = -1 + 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.
-9 + 3x + -5x = -1 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-9 + -2x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -2x = -1 + 0
-9 + -2x = -1

Add '9' to each side of the equation.
-9 + 9 + -2x = -1 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = -1 + 9
-2x = -1 + 9

Combine like terms: -1 + 9 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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