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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