5(x-10)=3(x+2)

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Solution for 5(x-10)=3(x+2) equation:


Simplifying
5(x + -10) = 3(x + 2)

Reorder the terms:
5(-10 + x) = 3(x + 2)
(-10 * 5 + x * 5) = 3(x + 2)
(-50 + 5x) = 3(x + 2)

Reorder the terms:
-50 + 5x = 3(2 + x)
-50 + 5x = (2 * 3 + x * 3)
-50 + 5x = (6 + 3x)

Solving
-50 + 5x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-50 + 5x + -3x = 6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-50 + 2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-50 + 2x = 6 + 0
-50 + 2x = 6

Add '50' to each side of the equation.
-50 + 50 + 2x = 6 + 50

Combine like terms: -50 + 50 = 0
0 + 2x = 6 + 50
2x = 6 + 50

Combine like terms: 6 + 50 = 56
2x = 56

Divide each side by '2'.
x = 28

Simplifying
x = 28

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