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

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


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

Reorder the terms:
5(-5 + x) = 2(x + -14)
(-5 * 5 + x * 5) = 2(x + -14)
(-25 + 5x) = 2(x + -14)

Reorder the terms:
-25 + 5x = 2(-14 + x)
-25 + 5x = (-14 * 2 + x * 2)
-25 + 5x = (-28 + 2x)

Solving
-25 + 5x = -28 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-25 + 5x + -2x = -28 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-25 + 3x = -28 + 2x + -2x

Combine like terms: 2x + -2x = 0
-25 + 3x = -28 + 0
-25 + 3x = -28

Add '25' to each side of the equation.
-25 + 25 + 3x = -28 + 25

Combine like terms: -25 + 25 = 0
0 + 3x = -28 + 25
3x = -28 + 25

Combine like terms: -28 + 25 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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