-5x=3(x+4)+2

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Solution for -5x=3(x+4)+2 equation:


Simplifying
-5x = 3(x + 4) + 2

Reorder the terms:
-5x = 3(4 + x) + 2
-5x = (4 * 3 + x * 3) + 2
-5x = (12 + 3x) + 2

Reorder the terms:
-5x = 12 + 2 + 3x

Combine like terms: 12 + 2 = 14
-5x = 14 + 3x

Solving
-5x = 14 + 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.
-5x + -3x = 14 + 3x + -3x

Combine like terms: -5x + -3x = -8x
-8x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8x = 14 + 0
-8x = 14

Divide each side by '-8'.
x = -1.75

Simplifying
x = -1.75

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