5(3x-5)=14x-8

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


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

Reorder the terms:
5(-5 + 3x) = 14x + -8
(-5 * 5 + 3x * 5) = 14x + -8
(-25 + 15x) = 14x + -8

Reorder the terms:
-25 + 15x = -8 + 14x

Solving
-25 + 15x = -8 + 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.
-25 + 15x + -14x = -8 + 14x + -14x

Combine like terms: 15x + -14x = 1x
-25 + 1x = -8 + 14x + -14x

Combine like terms: 14x + -14x = 0
-25 + 1x = -8 + 0
-25 + 1x = -8

Add '25' to each side of the equation.
-25 + 25 + 1x = -8 + 25

Combine like terms: -25 + 25 = 0
0 + 1x = -8 + 25
1x = -8 + 25

Combine like terms: -8 + 25 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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