2(3-x)=-15-(x-4)

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Solution for 2(3-x)=-15-(x-4) equation:


Simplifying
2(3 + -1x) = -15 + -1(x + -4)
(3 * 2 + -1x * 2) = -15 + -1(x + -4)
(6 + -2x) = -15 + -1(x + -4)

Reorder the terms:
6 + -2x = -15 + -1(-4 + x)
6 + -2x = -15 + (-4 * -1 + x * -1)
6 + -2x = -15 + (4 + -1x)

Combine like terms: -15 + 4 = -11
6 + -2x = -11 + -1x

Solving
6 + -2x = -11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + -2x + x = -11 + -1x + x

Combine like terms: -2x + x = -1x
6 + -1x = -11 + -1x + x

Combine like terms: -1x + x = 0
6 + -1x = -11 + 0
6 + -1x = -11

Add '-6' to each side of the equation.
6 + -6 + -1x = -11 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -11 + -6
-1x = -11 + -6

Combine like terms: -11 + -6 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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