6x-11=2+5(x-3)

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Solution for 6x-11=2+5(x-3) equation:


Simplifying
6x + -11 = 2 + 5(x + -3)

Reorder the terms:
-11 + 6x = 2 + 5(x + -3)

Reorder the terms:
-11 + 6x = 2 + 5(-3 + x)
-11 + 6x = 2 + (-3 * 5 + x * 5)
-11 + 6x = 2 + (-15 + 5x)

Combine like terms: 2 + -15 = -13
-11 + 6x = -13 + 5x

Solving
-11 + 6x = -13 + 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 + 6x + -5x = -13 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-11 + 1x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-11 + 1x = -13 + 0
-11 + 1x = -13

Add '11' to each side of the equation.
-11 + 11 + 1x = -13 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = -13 + 11
1x = -13 + 11

Combine like terms: -13 + 11 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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