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

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


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

Reorder the terms:
5(-5 + x) + -2x = 2(x + 4)
(-5 * 5 + x * 5) + -2x = 2(x + 4)
(-25 + 5x) + -2x = 2(x + 4)

Combine like terms: 5x + -2x = 3x
-25 + 3x = 2(x + 4)

Reorder the terms:
-25 + 3x = 2(4 + x)
-25 + 3x = (4 * 2 + x * 2)
-25 + 3x = (8 + 2x)

Solving
-25 + 3x = 8 + 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.
-25 + 3x + -2x = 8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-25 + 1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-25 + 1x = 8 + 0
-25 + 1x = 8

Add '25' to each side of the equation.
-25 + 25 + 1x = 8 + 25

Combine like terms: -25 + 25 = 0
0 + 1x = 8 + 25
1x = 8 + 25

Combine like terms: 8 + 25 = 33
1x = 33

Divide each side by '1'.
x = 33

Simplifying
x = 33

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