6(7-2x)-3(x-5)=12

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Solution for 6(7-2x)-3(x-5)=12 equation: 


Simplifying
6(7 + -2x) + -3(x + -5) = 12
(7 * 6 + -2x * 6) + -3(x + -5) = 12
(42 + -12x) + -3(x + -5) = 12

Reorder the terms:
42 + -12x + -3(-5 + x) = 12
42 + -12x + (-5 * -3 + x * -3) = 12
42 + -12x + (15 + -3x) = 12

Reorder the terms:
42 + 15 + -12x + -3x = 12

Combine like terms: 42 + 15 = 57
57 + -12x + -3x = 12

Combine like terms: -12x + -3x = -15x
57 + -15x = 12

Solving
57 + -15x = 12

Solving for variable 'x'.

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

Add '-57' to each side of the equation.
57 + -57 + -15x = 12 + -57

Combine like terms: 57 + -57 = 0
0 + -15x = 12 + -57
-15x = 12 + -57

Combine like terms: 12 + -57 = -45
-15x = -45

Divide each side by '-15'.
x = 3

Simplifying
x = 3

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