5(x-8)=2x+10

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Solution for 5(x-8)=2x+10 equation:


Simplifying
5(x + -8) = 2x + 10

Reorder the terms:
5(-8 + x) = 2x + 10
(-8 * 5 + x * 5) = 2x + 10
(-40 + 5x) = 2x + 10

Reorder the terms:
-40 + 5x = 10 + 2x

Solving
-40 + 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.
-40 + 5x + -2x = 10 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-40 + 3x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-40 + 3x = 10 + 0
-40 + 3x = 10

Add '40' to each side of the equation.
-40 + 40 + 3x = 10 + 40

Combine like terms: -40 + 40 = 0
0 + 3x = 10 + 40
3x = 10 + 40

Combine like terms: 10 + 40 = 50
3x = 50

Divide each side by '3'.
x = 16.66666667

Simplifying
x = 16.66666667

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