6(2x-3)+8=2(x+5)

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Solution for 6(2x-3)+8=2(x+5) equation:


Simplifying
6(2x + -3) + 8 = 2(x + 5)

Reorder the terms:
6(-3 + 2x) + 8 = 2(x + 5)
(-3 * 6 + 2x * 6) + 8 = 2(x + 5)
(-18 + 12x) + 8 = 2(x + 5)

Reorder the terms:
-18 + 8 + 12x = 2(x + 5)

Combine like terms: -18 + 8 = -10
-10 + 12x = 2(x + 5)

Reorder the terms:
-10 + 12x = 2(5 + x)
-10 + 12x = (5 * 2 + x * 2)
-10 + 12x = (10 + 2x)

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

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

Combine like terms: 2x + -2x = 0
-10 + 10x = 10 + 0
-10 + 10x = 10

Add '10' to each side of the equation.
-10 + 10 + 10x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = 10 + 10
10x = 10 + 10

Combine like terms: 10 + 10 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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