3(x+5)=-4(x-16)

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Solution for 3(x+5)=-4(x-16) equation: 


Simplifying
3(x + 5) = -4(x + -16)

Reorder the terms:
3(5 + x) = -4(x + -16)
(5 * 3 + x * 3) = -4(x + -16)
(15 + 3x) = -4(x + -16)

Reorder the terms:
15 + 3x = -4(-16 + x)
15 + 3x = (-16 * -4 + x * -4)
15 + 3x = (64 + -4x)

Solving
15 + 3x = 64 + -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.
15 + 3x + 4x = 64 + -4x + 4x

Combine like terms: 3x + 4x = 7x
15 + 7x = 64 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + 7x = 64 + 0
15 + 7x = 64

Add '-15' to each side of the equation.
15 + -15 + 7x = 64 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = 64 + -15
7x = 64 + -15

Combine like terms: 64 + -15 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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