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

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


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

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

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

Combine like terms: 5 + 3 = 8
-2 + 6x = 8 + -1x

Solving
-2 + 6x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 6x + x = 8 + -1x + x

Combine like terms: 6x + x = 7x
-2 + 7x = 8 + -1x + x

Combine like terms: -1x + x = 0
-2 + 7x = 8 + 0
-2 + 7x = 8

Add '2' to each side of the equation.
-2 + 2 + 7x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 8 + 2
7x = 8 + 2

Combine like terms: 8 + 2 = 10
7x = 10

Divide each side by '7'.
x = 1.428571429

Simplifying
x = 1.428571429

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