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

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


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

Reorder the terms:
5(-10 + x) = 2(x + 8)
(-10 * 5 + x * 5) = 2(x + 8)
(-50 + 5x) = 2(x + 8)

Reorder the terms:
-50 + 5x = 2(8 + x)
-50 + 5x = (8 * 2 + x * 2)
-50 + 5x = (16 + 2x)

Solving
-50 + 5x = 16 + 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.
-50 + 5x + -2x = 16 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-50 + 3x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-50 + 3x = 16 + 0
-50 + 3x = 16

Add '50' to each side of the equation.
-50 + 50 + 3x = 16 + 50

Combine like terms: -50 + 50 = 0
0 + 3x = 16 + 50
3x = 16 + 50

Combine like terms: 16 + 50 = 66
3x = 66

Divide each side by '3'.
x = 22

Simplifying
x = 22

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