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

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


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

Reorder the terms:
4x + -2(-3 + x) = -1x + -15 + 4
4x + (-3 * -2 + x * -2) = -1x + -15 + 4
4x + (6 + -2x) = -1x + -15 + 4

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

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

Reorder the terms:
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 = 3x
6 + 3x = -11 + -1x + x

Combine like terms: -1x + x = 0
6 + 3x = -11 + 0
6 + 3x = -11

Add '-6' to each side of the equation.
6 + -6 + 3x = -11 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -11 + -6
3x = -11 + -6

Combine like terms: -11 + -6 = -17
3x = -17

Divide each side by '3'.
x = -5.666666667

Simplifying
x = -5.666666667

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