5(2x-5)=2(x+6)+13

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Solution for 5(2x-5)=2(x+6)+13 equation:


Simplifying
5(2x + -5) = 2(x + 6) + 13

Reorder the terms:
5(-5 + 2x) = 2(x + 6) + 13
(-5 * 5 + 2x * 5) = 2(x + 6) + 13
(-25 + 10x) = 2(x + 6) + 13

Reorder the terms:
-25 + 10x = 2(6 + x) + 13
-25 + 10x = (6 * 2 + x * 2) + 13
-25 + 10x = (12 + 2x) + 13

Reorder the terms:
-25 + 10x = 12 + 13 + 2x

Combine like terms: 12 + 13 = 25
-25 + 10x = 25 + 2x

Solving
-25 + 10x = 25 + 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 + 10x + -2x = 25 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-25 + 8x = 25 + 2x + -2x

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

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

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

Combine like terms: 25 + 25 = 50
8x = 50

Divide each side by '8'.
x = 6.25

Simplifying
x = 6.25

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