8(x-10)=5(x+5)

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Solution for 8(x-10)=5(x+5) equation:


Simplifying
8(x + -10) = 5(x + 5)

Reorder the terms:
8(-10 + x) = 5(x + 5)
(-10 * 8 + x * 8) = 5(x + 5)
(-80 + 8x) = 5(x + 5)

Reorder the terms:
-80 + 8x = 5(5 + x)
-80 + 8x = (5 * 5 + x * 5)
-80 + 8x = (25 + 5x)

Solving
-80 + 8x = 25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-80 + 8x + -5x = 25 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-80 + 3x = 25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-80 + 3x = 25 + 0
-80 + 3x = 25

Add '80' to each side of the equation.
-80 + 80 + 3x = 25 + 80

Combine like terms: -80 + 80 = 0
0 + 3x = 25 + 80
3x = 25 + 80

Combine like terms: 25 + 80 = 105
3x = 105

Divide each side by '3'.
x = 35

Simplifying
x = 35

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