15+2(3x-3)=(2x-8)

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Solution for 15+2(3x-3)=(2x-8) equation:


Simplifying
15 + 2(3x + -3) = (2x + -8)

Reorder the terms:
15 + 2(-3 + 3x) = (2x + -8)
15 + (-3 * 2 + 3x * 2) = (2x + -8)
15 + (-6 + 6x) = (2x + -8)

Combine like terms: 15 + -6 = 9
9 + 6x = (2x + -8)

Reorder the terms:
9 + 6x = (-8 + 2x)

Remove parenthesis around (-8 + 2x)
9 + 6x = -8 + 2x

Solving
9 + 6x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + 6x + -2x = -8 + 2x + -2x

Combine like terms: 6x + -2x = 4x
9 + 4x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 4x = -8 + 0
9 + 4x = -8

Add '-9' to each side of the equation.
9 + -9 + 4x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = -8 + -9
4x = -8 + -9

Combine like terms: -8 + -9 = -17
4x = -17

Divide each side by '4'.
x = -4.25

Simplifying
x = -4.25

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