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

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


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

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

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

Combine like terms: -25 + 13 = -12
-12 + 10x = 2(x + 6)

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

Solving
-12 + 10x = 12 + 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.
-12 + 10x + -2x = 12 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-12 + 8x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 8x = 12 + 0
-12 + 8x = 12

Add '12' to each side of the equation.
-12 + 12 + 8x = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 12 + 12
8x = 12 + 12

Combine like terms: 12 + 12 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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