5(x-3)=2(2x+8)

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Solution for 5(x-3)=2(2x+8) equation:


Simplifying
5(x + -3) = 2(2x + 8)

Reorder the terms:
5(-3 + x) = 2(2x + 8)
(-3 * 5 + x * 5) = 2(2x + 8)
(-15 + 5x) = 2(2x + 8)

Reorder the terms:
-15 + 5x = 2(8 + 2x)
-15 + 5x = (8 * 2 + 2x * 2)
-15 + 5x = (16 + 4x)

Solving
-15 + 5x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + 5x + -4x = 16 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-15 + 1x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 1x = 16 + 0
-15 + 1x = 16

Add '15' to each side of the equation.
-15 + 15 + 1x = 16 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = 16 + 15
1x = 16 + 15

Combine like terms: 16 + 15 = 31
1x = 31

Divide each side by '1'.
x = 31

Simplifying
x = 31

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