-5+6(-x-3)=2x-3(1+x)

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Solution for -5+6(-x-3)=2x-3(1+x) equation:


Simplifying
-5 + 6(-1x + -3) = 2x + -3(1 + x)

Reorder the terms:
-5 + 6(-3 + -1x) = 2x + -3(1 + x)
-5 + (-3 * 6 + -1x * 6) = 2x + -3(1 + x)
-5 + (-18 + -6x) = 2x + -3(1 + x)

Combine like terms: -5 + -18 = -23
-23 + -6x = 2x + -3(1 + x)
-23 + -6x = 2x + (1 * -3 + x * -3)
-23 + -6x = 2x + (-3 + -3x)

Reorder the terms:
-23 + -6x = -3 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-23 + -6x = -3 + -1x

Solving
-23 + -6x = -3 + -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.
-23 + -6x + x = -3 + -1x + x

Combine like terms: -6x + x = -5x
-23 + -5x = -3 + -1x + x

Combine like terms: -1x + x = 0
-23 + -5x = -3 + 0
-23 + -5x = -3

Add '23' to each side of the equation.
-23 + 23 + -5x = -3 + 23

Combine like terms: -23 + 23 = 0
0 + -5x = -3 + 23
-5x = -3 + 23

Combine like terms: -3 + 23 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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