3(x+3)=12-4(x+5)

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Solution for 3(x+3)=12-4(x+5) equation:


Simplifying
3(x + 3) = 12 + -4(x + 5)

Reorder the terms:
3(3 + x) = 12 + -4(x + 5)
(3 * 3 + x * 3) = 12 + -4(x + 5)
(9 + 3x) = 12 + -4(x + 5)

Reorder the terms:
9 + 3x = 12 + -4(5 + x)
9 + 3x = 12 + (5 * -4 + x * -4)
9 + 3x = 12 + (-20 + -4x)

Combine like terms: 12 + -20 = -8
9 + 3x = -8 + -4x

Solving
9 + 3x = -8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
9 + 3x + 4x = -8 + -4x + 4x

Combine like terms: 3x + 4x = 7x
9 + 7x = -8 + -4x + 4x

Combine like terms: -4x + 4x = 0
9 + 7x = -8 + 0
9 + 7x = -8

Add '-9' to each side of the equation.
9 + -9 + 7x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = -8 + -9
7x = -8 + -9

Combine like terms: -8 + -9 = -17
7x = -17

Divide each side by '7'.
x = -2.428571429

Simplifying
x = -2.428571429

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