39(x+4)=5x+16

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Solution for 39(x+4)=5x+16 equation:


Simplifying
39(x + 4) = 5x + 16

Reorder the terms:
39(4 + x) = 5x + 16
(4 * 39 + x * 39) = 5x + 16
(156 + 39x) = 5x + 16

Reorder the terms:
156 + 39x = 16 + 5x

Solving
156 + 39x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
156 + 39x + -5x = 16 + 5x + -5x

Combine like terms: 39x + -5x = 34x
156 + 34x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
156 + 34x = 16 + 0
156 + 34x = 16

Add '-156' to each side of the equation.
156 + -156 + 34x = 16 + -156

Combine like terms: 156 + -156 = 0
0 + 34x = 16 + -156
34x = 16 + -156

Combine like terms: 16 + -156 = -140
34x = -140

Divide each side by '34'.
x = -4.117647059

Simplifying
x = -4.117647059

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