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

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


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

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

Combine like terms: 2x + -6x = -4x
6 + -4x = -5(x + -2) + 5

Reorder the terms:
6 + -4x = -5(-2 + x) + 5
6 + -4x = (-2 * -5 + x * -5) + 5
6 + -4x = (10 + -5x) + 5

Reorder the terms:
6 + -4x = 10 + 5 + -5x

Combine like terms: 10 + 5 = 15
6 + -4x = 15 + -5x

Solving
6 + -4x = 15 + -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.
6 + -4x + 5x = 15 + -5x + 5x

Combine like terms: -4x + 5x = 1x
6 + 1x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 1x = 15 + 0
6 + 1x = 15

Add '-6' to each side of the equation.
6 + -6 + 1x = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 15 + -6
1x = 15 + -6

Combine like terms: 15 + -6 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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