5(x-4)=2(x+5)

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Solution for 5(x-4)=2(x+5) equation:


Simplifying
5(x + -4) = 2(x + 5)

Reorder the terms:
5(-4 + x) = 2(x + 5)
(-4 * 5 + x * 5) = 2(x + 5)
(-20 + 5x) = 2(x + 5)

Reorder the terms:
-20 + 5x = 2(5 + x)
-20 + 5x = (5 * 2 + x * 2)
-20 + 5x = (10 + 2x)

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

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

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

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

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

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

Divide each side by '3'.
x = 10

Simplifying
x = 10

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