5(x+3)+8=14x+2

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Solution for 5(x+3)+8=14x+2 equation:


Simplifying
5(x + 3) + 8 = 14x + 2

Reorder the terms:
5(3 + x) + 8 = 14x + 2
(3 * 5 + x * 5) + 8 = 14x + 2
(15 + 5x) + 8 = 14x + 2

Reorder the terms:
15 + 8 + 5x = 14x + 2

Combine like terms: 15 + 8 = 23
23 + 5x = 14x + 2

Reorder the terms:
23 + 5x = 2 + 14x

Solving
23 + 5x = 2 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
23 + 5x + -14x = 2 + 14x + -14x

Combine like terms: 5x + -14x = -9x
23 + -9x = 2 + 14x + -14x

Combine like terms: 14x + -14x = 0
23 + -9x = 2 + 0
23 + -9x = 2

Add '-23' to each side of the equation.
23 + -23 + -9x = 2 + -23

Combine like terms: 23 + -23 = 0
0 + -9x = 2 + -23
-9x = 2 + -23

Combine like terms: 2 + -23 = -21
-9x = -21

Divide each side by '-9'.
x = 2.333333333

Simplifying
x = 2.333333333

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