(5x-8)-(7-10x)=-12

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Solution for (5x-8)-(7-10x)=-12 equation:


Simplifying
(5x + -8) + -1(7 + -10x) = -12

Reorder the terms:
(-8 + 5x) + -1(7 + -10x) = -12

Remove parenthesis around (-8 + 5x)
-8 + 5x + -1(7 + -10x) = -12
-8 + 5x + (7 * -1 + -10x * -1) = -12
-8 + 5x + (-7 + 10x) = -12

Reorder the terms:
-8 + -7 + 5x + 10x = -12

Combine like terms: -8 + -7 = -15
-15 + 5x + 10x = -12

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

Solving
-15 + 15x = -12

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 15x = -12 + 15

Combine like terms: -15 + 15 = 0
0 + 15x = -12 + 15
15x = -12 + 15

Combine like terms: -12 + 15 = 3
15x = 3

Divide each side by '15'.
x = 0.2

Simplifying
x = 0.2

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