2(x+3)=-3(4x-4)+5x

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Solution for 2(x+3)=-3(4x-4)+5x equation:


Simplifying
2(x + 3) = -3(4x + -4) + 5x

Reorder the terms:
2(3 + x) = -3(4x + -4) + 5x
(3 * 2 + x * 2) = -3(4x + -4) + 5x
(6 + 2x) = -3(4x + -4) + 5x

Reorder the terms:
6 + 2x = -3(-4 + 4x) + 5x
6 + 2x = (-4 * -3 + 4x * -3) + 5x
6 + 2x = (12 + -12x) + 5x

Combine like terms: -12x + 5x = -7x
6 + 2x = 12 + -7x

Solving
6 + 2x = 12 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + 2x + 7x = 12 + -7x + 7x

Combine like terms: 2x + 7x = 9x
6 + 9x = 12 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 9x = 12 + 0
6 + 9x = 12

Add '-6' to each side of the equation.
6 + -6 + 9x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 12 + -6
9x = 12 + -6

Combine like terms: 12 + -6 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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