2(2x+3)=x-(3x+10)

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Solution for 2(2x+3)=x-(3x+10) equation:


Simplifying
2(2x + 3) = x + -1(3x + 10)

Reorder the terms:
2(3 + 2x) = x + -1(3x + 10)
(3 * 2 + 2x * 2) = x + -1(3x + 10)
(6 + 4x) = x + -1(3x + 10)

Reorder the terms:
6 + 4x = x + -1(10 + 3x)
6 + 4x = x + (10 * -1 + 3x * -1)
6 + 4x = x + (-10 + -3x)

Reorder the terms:
6 + 4x = -10 + x + -3x

Combine like terms: x + -3x = -2x
6 + 4x = -10 + -2x

Solving
6 + 4x = -10 + -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.
6 + 4x + 2x = -10 + -2x + 2x

Combine like terms: 4x + 2x = 6x
6 + 6x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 6x = -10 + 0
6 + 6x = -10

Add '-6' to each side of the equation.
6 + -6 + 6x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = -10 + -6
6x = -10 + -6

Combine like terms: -10 + -6 = -16
6x = -16

Divide each side by '6'.
x = -2.666666667

Simplifying
x = -2.666666667

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