5(x-2)-14x=x-5

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


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

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

Combine like terms: 5x + -14x = -9x
-10 + -9x = x + -5

Reorder the terms:
-10 + -9x = -5 + x

Solving
-10 + -9x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + -9x + -1x = -5 + x + -1x

Combine like terms: -9x + -1x = -10x
-10 + -10x = -5 + x + -1x

Combine like terms: x + -1x = 0
-10 + -10x = -5 + 0
-10 + -10x = -5

Add '10' to each side of the equation.
-10 + 10 + -10x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + -10x = -5 + 10
-10x = -5 + 10

Combine like terms: -5 + 10 = 5
-10x = 5

Divide each side by '-10'.
x = -0.5

Simplifying
x = -0.5

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