5(x-8)+15=2(x-5)

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Solution for 5(x-8)+15=2(x-5) equation:


Simplifying
5(x + -8) + 15 = 2(x + -5)

Reorder the terms:
5(-8 + x) + 15 = 2(x + -5)
(-8 * 5 + x * 5) + 15 = 2(x + -5)
(-40 + 5x) + 15 = 2(x + -5)

Reorder the terms:
-40 + 15 + 5x = 2(x + -5)

Combine like terms: -40 + 15 = -25
-25 + 5x = 2(x + -5)

Reorder the terms:
-25 + 5x = 2(-5 + x)
-25 + 5x = (-5 * 2 + x * 2)
-25 + 5x = (-10 + 2x)

Solving
-25 + 5x = -10 + 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 = -10 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-25 + 3x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-25 + 3x = -10 + 0
-25 + 3x = -10

Add '25' to each side of the equation.
-25 + 25 + 3x = -10 + 25

Combine like terms: -25 + 25 = 0
0 + 3x = -10 + 25
3x = -10 + 25

Combine like terms: -10 + 25 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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