6x-1=3(x-3)+5

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Solution for 6x-1=3(x-3)+5 equation:


Simplifying
6x + -1 = 3(x + -3) + 5

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

Reorder the terms:
-1 + 6x = 3(-3 + x) + 5
-1 + 6x = (-3 * 3 + x * 3) + 5
-1 + 6x = (-9 + 3x) + 5

Reorder the terms:
-1 + 6x = -9 + 5 + 3x

Combine like terms: -9 + 5 = -4
-1 + 6x = -4 + 3x

Solving
-1 + 6x = -4 + 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 + 6x + -3x = -4 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-1 + 3x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + 3x = -4 + 0
-1 + 3x = -4

Add '1' to each side of the equation.
-1 + 1 + 3x = -4 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = -4 + 1
3x = -4 + 1

Combine like terms: -4 + 1 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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