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

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


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

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

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

Solving
42 + -12x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
42 + -12x + -3x = -3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
42 + -15x = -3 + 0
42 + -15x = -3

Add '-42' to each side of the equation.
42 + -42 + -15x = -3 + -42

Combine like terms: 42 + -42 = 0
0 + -15x = -3 + -42
-15x = -3 + -42

Combine like terms: -3 + -42 = -45
-15x = -45

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

Simplifying
x = 3

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