12x-5(2-3x)=5+7x

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Solution for 12x-5(2-3x)=5+7x equation:


Simplifying
12x + -5(2 + -3x) = 5 + 7x
12x + (2 * -5 + -3x * -5) = 5 + 7x
12x + (-10 + 15x) = 5 + 7x

Reorder the terms:
-10 + 12x + 15x = 5 + 7x

Combine like terms: 12x + 15x = 27x
-10 + 27x = 5 + 7x

Solving
-10 + 27x = 5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-10 + 27x + -7x = 5 + 7x + -7x

Combine like terms: 27x + -7x = 20x
-10 + 20x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + 20x = 5 + 0
-10 + 20x = 5

Add '10' to each side of the equation.
-10 + 10 + 20x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 20x = 5 + 10
20x = 5 + 10

Combine like terms: 5 + 10 = 15
20x = 15

Divide each side by '20'.
x = 0.75

Simplifying
x = 0.75

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