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

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


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

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

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

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

Combine like terms: 10 + 10 = 20
-10 + 5x = 20 + 2x

Solving
-10 + 5x = 20 + 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.
-10 + 5x + -2x = 20 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-10 + 3x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 3x = 20 + 0
-10 + 3x = 20

Add '10' to each side of the equation.
-10 + 10 + 3x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 20 + 10
3x = 20 + 10

Combine like terms: 20 + 10 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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