4x=-2(x-9)-2(15-2x)

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Solution for 4x=-2(x-9)-2(15-2x) equation:


Simplifying
4x = -2(x + -9) + -2(15 + -2x)

Reorder the terms:
4x = -2(-9 + x) + -2(15 + -2x)
4x = (-9 * -2 + x * -2) + -2(15 + -2x)
4x = (18 + -2x) + -2(15 + -2x)
4x = 18 + -2x + (15 * -2 + -2x * -2)
4x = 18 + -2x + (-30 + 4x)

Reorder the terms:
4x = 18 + -30 + -2x + 4x

Combine like terms: 18 + -30 = -12
4x = -12 + -2x + 4x

Combine like terms: -2x + 4x = 2x
4x = -12 + 2x

Solving
4x = -12 + 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.
4x + -2x = -12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
2x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
2x = -12 + 0
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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