6(7-4x)=6(-6x+3)

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Solution for 6(7-4x)=6(-6x+3) equation:


Simplifying
6(7 + -4x) = 6(-6x + 3)
(7 * 6 + -4x * 6) = 6(-6x + 3)
(42 + -24x) = 6(-6x + 3)

Reorder the terms:
42 + -24x = 6(3 + -6x)
42 + -24x = (3 * 6 + -6x * 6)
42 + -24x = (18 + -36x)

Solving
42 + -24x = 18 + -36x

Solving for variable 'x'.

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

Add '36x' to each side of the equation.
42 + -24x + 36x = 18 + -36x + 36x

Combine like terms: -24x + 36x = 12x
42 + 12x = 18 + -36x + 36x

Combine like terms: -36x + 36x = 0
42 + 12x = 18 + 0
42 + 12x = 18

Add '-42' to each side of the equation.
42 + -42 + 12x = 18 + -42

Combine like terms: 42 + -42 = 0
0 + 12x = 18 + -42
12x = 18 + -42

Combine like terms: 18 + -42 = -24
12x = -24

Divide each side by '12'.
x = -2

Simplifying
x = -2

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