-3(x+5)+1=9-(x-3)

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Solution for -3(x+5)+1=9-(x-3) equation:


Simplifying
-3(x + 5) + 1 = 9 + -1(x + -3)

Reorder the terms:
-3(5 + x) + 1 = 9 + -1(x + -3)
(5 * -3 + x * -3) + 1 = 9 + -1(x + -3)
(-15 + -3x) + 1 = 9 + -1(x + -3)

Reorder the terms:
-15 + 1 + -3x = 9 + -1(x + -3)

Combine like terms: -15 + 1 = -14
-14 + -3x = 9 + -1(x + -3)

Reorder the terms:
-14 + -3x = 9 + -1(-3 + x)
-14 + -3x = 9 + (-3 * -1 + x * -1)
-14 + -3x = 9 + (3 + -1x)

Combine like terms: 9 + 3 = 12
-14 + -3x = 12 + -1x

Solving
-14 + -3x = 12 + -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.
-14 + -3x + x = 12 + -1x + x

Combine like terms: -3x + x = -2x
-14 + -2x = 12 + -1x + x

Combine like terms: -1x + x = 0
-14 + -2x = 12 + 0
-14 + -2x = 12

Add '14' to each side of the equation.
-14 + 14 + -2x = 12 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = 12 + 14
-2x = 12 + 14

Combine like terms: 12 + 14 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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