6x-5=7+3(2-x)

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Solution for 6x-5=7+3(2-x) equation:


Simplifying
6x + -5 = 7 + 3(2 + -1x)

Reorder the terms:
-5 + 6x = 7 + 3(2 + -1x)
-5 + 6x = 7 + (2 * 3 + -1x * 3)
-5 + 6x = 7 + (6 + -3x)

Combine like terms: 7 + 6 = 13
-5 + 6x = 13 + -3x

Solving
-5 + 6x = 13 + -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.
-5 + 6x + 3x = 13 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-5 + 9x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 9x = 13 + 0
-5 + 9x = 13

Add '5' to each side of the equation.
-5 + 5 + 9x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 13 + 5
9x = 13 + 5

Combine like terms: 13 + 5 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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