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

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


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

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

Reorder the terms:
36 + 4x = -3(-4 + x)
36 + 4x = (-4 * -3 + x * -3)
36 + 4x = (12 + -3x)

Solving
36 + 4x = 12 + -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.
36 + 4x + 3x = 12 + -3x + 3x

Combine like terms: 4x + 3x = 7x
36 + 7x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
36 + 7x = 12 + 0
36 + 7x = 12

Add '-36' to each side of the equation.
36 + -36 + 7x = 12 + -36

Combine like terms: 36 + -36 = 0
0 + 7x = 12 + -36
7x = 12 + -36

Combine like terms: 12 + -36 = -24
7x = -24

Divide each side by '7'.
x = -3.428571429

Simplifying
x = -3.428571429

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