-12x+3(x-3)+8x=3x-41

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Solution for -12x+3(x-3)+8x=3x-41 equation:


Simplifying
-12x + 3(x + -3) + 8x = 3x + -41

Reorder the terms:
-12x + 3(-3 + x) + 8x = 3x + -41
-12x + (-3 * 3 + x * 3) + 8x = 3x + -41
-12x + (-9 + 3x) + 8x = 3x + -41

Reorder the terms:
-9 + -12x + 3x + 8x = 3x + -41

Combine like terms: -12x + 3x = -9x
-9 + -9x + 8x = 3x + -41

Combine like terms: -9x + 8x = -1x
-9 + -1x = 3x + -41

Reorder the terms:
-9 + -1x = -41 + 3x

Solving
-9 + -1x = -41 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + -1x + -3x = -41 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-9 + -4x = -41 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -4x = -41 + 0
-9 + -4x = -41

Add '9' to each side of the equation.
-9 + 9 + -4x = -41 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = -41 + 9
-4x = -41 + 9

Combine like terms: -41 + 9 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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