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

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


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

Reorder the terms:
-7 + 3x = -3(6 + -4x)
-7 + 3x = (6 * -3 + -4x * -3)
-7 + 3x = (-18 + 12x)

Solving
-7 + 3x = -18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-7 + 3x + -12x = -18 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-7 + -9x = -18 + 12x + -12x

Combine like terms: 12x + -12x = 0
-7 + -9x = -18 + 0
-7 + -9x = -18

Add '7' to each side of the equation.
-7 + 7 + -9x = -18 + 7

Combine like terms: -7 + 7 = 0
0 + -9x = -18 + 7
-9x = -18 + 7

Combine like terms: -18 + 7 = -11
-9x = -11

Divide each side by '-9'.
x = 1.222222222

Simplifying
x = 1.222222222

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