58(x+2)=3(x+8)

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Solution for 58(x+2)=3(x+8) equation: 


Simplifying
58(x + 2) = 3(x + 8)

Reorder the terms:
58(2 + x) = 3(x + 8)
(2 * 58 + x * 58) = 3(x + 8)
(116 + 58x) = 3(x + 8)

Reorder the terms:
116 + 58x = 3(8 + x)
116 + 58x = (8 * 3 + x * 3)
116 + 58x = (24 + 3x)

Solving
116 + 58x = 24 + 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.
116 + 58x + -3x = 24 + 3x + -3x

Combine like terms: 58x + -3x = 55x
116 + 55x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0
116 + 55x = 24 + 0
116 + 55x = 24

Add '-116' to each side of the equation.
116 + -116 + 55x = 24 + -116

Combine like terms: 116 + -116 = 0
0 + 55x = 24 + -116
55x = 24 + -116

Combine like terms: 24 + -116 = -92
55x = -92

Divide each side by '55'.
x = -1.672727273

Simplifying
x = -1.672727273

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