6(1-2x)=3(x+7)

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Solution for 6(1-2x)=3(x+7) equation: 


Simplifying
6(1 + -2x) = 3(x + 7)
(1 * 6 + -2x * 6) = 3(x + 7)
(6 + -12x) = 3(x + 7)

Reorder the terms:
6 + -12x = 3(7 + x)
6 + -12x = (7 * 3 + x * 3)
6 + -12x = (21 + 3x)

Solving
6 + -12x = 21 + 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.
6 + -12x + -3x = 21 + 3x + -3x

Combine like terms: -12x + -3x = -15x
6 + -15x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -15x = 21 + 0
6 + -15x = 21

Add '-6' to each side of the equation.
6 + -6 + -15x = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -15x = 21 + -6
-15x = 21 + -6

Combine like terms: 21 + -6 = 15
-15x = 15

Divide each side by '-15'.
x = -1

Simplifying
x = -1

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