5(x-2)+8x-14=19

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Solution for 5(x-2)+8x-14=19 equation:


Simplifying
5(x + -2) + 8x + -14 = 19

Reorder the terms:
5(-2 + x) + 8x + -14 = 19
(-2 * 5 + x * 5) + 8x + -14 = 19
(-10 + 5x) + 8x + -14 = 19

Reorder the terms:
-10 + -14 + 5x + 8x = 19

Combine like terms: -10 + -14 = -24
-24 + 5x + 8x = 19

Combine like terms: 5x + 8x = 13x
-24 + 13x = 19

Solving
-24 + 13x = 19

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 13x = 19 + 24

Combine like terms: -24 + 24 = 0
0 + 13x = 19 + 24
13x = 19 + 24

Combine like terms: 19 + 24 = 43
13x = 43

Divide each side by '13'.
x = 3.307692308

Simplifying
x = 3.307692308

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