3(x-3)+6=-(4-x)-23

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Solution for 3(x-3)+6=-(4-x)-23 equation:


Simplifying
3(x + -3) + 6 = -1(4 + -1x) + -23

Reorder the terms:
3(-3 + x) + 6 = -1(4 + -1x) + -23
(-3 * 3 + x * 3) + 6 = -1(4 + -1x) + -23
(-9 + 3x) + 6 = -1(4 + -1x) + -23

Reorder the terms:
-9 + 6 + 3x = -1(4 + -1x) + -23

Combine like terms: -9 + 6 = -3
-3 + 3x = -1(4 + -1x) + -23
-3 + 3x = (4 * -1 + -1x * -1) + -23
-3 + 3x = (-4 + 1x) + -23

Reorder the terms:
-3 + 3x = -4 + -23 + 1x

Combine like terms: -4 + -23 = -27
-3 + 3x = -27 + 1x

Solving
-3 + 3x = -27 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 3x + -1x = -27 + 1x + -1x

Combine like terms: 3x + -1x = 2x
-3 + 2x = -27 + 1x + -1x

Combine like terms: 1x + -1x = 0
-3 + 2x = -27 + 0
-3 + 2x = -27

Add '3' to each side of the equation.
-3 + 3 + 2x = -27 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -27 + 3
2x = -27 + 3

Combine like terms: -27 + 3 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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