3*(x-9)-12=3x+4x+46

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Solution for 3*(x-9)-12=3x+4x+46 equation:


Simplifying
3(x + -9) + -12 = 3x + 4x + 46

Reorder the terms:
3(-9 + x) + -12 = 3x + 4x + 46
(-9 * 3 + x * 3) + -12 = 3x + 4x + 46
(-27 + 3x) + -12 = 3x + 4x + 46

Reorder the terms:
-27 + -12 + 3x = 3x + 4x + 46

Combine like terms: -27 + -12 = -39
-39 + 3x = 3x + 4x + 46

Reorder the terms:
-39 + 3x = 46 + 3x + 4x

Combine like terms: 3x + 4x = 7x
-39 + 3x = 46 + 7x

Solving
-39 + 3x = 46 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-39 + 3x + -7x = 46 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-39 + -4x = 46 + 7x + -7x

Combine like terms: 7x + -7x = 0
-39 + -4x = 46 + 0
-39 + -4x = 46

Add '39' to each side of the equation.
-39 + 39 + -4x = 46 + 39

Combine like terms: -39 + 39 = 0
0 + -4x = 46 + 39
-4x = 46 + 39

Combine like terms: 46 + 39 = 85
-4x = 85

Divide each side by '-4'.
x = -21.25

Simplifying
x = -21.25

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