3(x-2)=-9(x+4)+48

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Solution for 3(x-2)=-9(x+4)+48 equation:


Simplifying
3(x + -2) = -9(x + 4) + 48

Reorder the terms:
3(-2 + x) = -9(x + 4) + 48
(-2 * 3 + x * 3) = -9(x + 4) + 48
(-6 + 3x) = -9(x + 4) + 48

Reorder the terms:
-6 + 3x = -9(4 + x) + 48
-6 + 3x = (4 * -9 + x * -9) + 48
-6 + 3x = (-36 + -9x) + 48

Reorder the terms:
-6 + 3x = -36 + 48 + -9x

Combine like terms: -36 + 48 = 12
-6 + 3x = 12 + -9x

Solving
-6 + 3x = 12 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-6 + 3x + 9x = 12 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-6 + 12x = 12 + -9x + 9x

Combine like terms: -9x + 9x = 0
-6 + 12x = 12 + 0
-6 + 12x = 12

Add '6' to each side of the equation.
-6 + 6 + 12x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 12 + 6
12x = 12 + 6

Combine like terms: 12 + 6 = 18
12x = 18

Divide each side by '12'.
x = 1.5

Simplifying
x = 1.5

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