6x+3(4-5x)=12-x(7-4)

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Solution for 6x+3(4-5x)=12-x(7-4) equation:


Simplifying
6x + 3(4 + -5x) = 12 + -1x(7 + -4)
6x + (4 * 3 + -5x * 3) = 12 + -1x(7 + -4)
6x + (12 + -15x) = 12 + -1x(7 + -4)

Reorder the terms:
12 + 6x + -15x = 12 + -1x(7 + -4)

Combine like terms: 6x + -15x = -9x
12 + -9x = 12 + -1x(7 + -4)

Combine like terms: 7 + -4 = 3
12 + -9x = 12 + -1x(3)

Reorder the terms for easier multiplication:
12 + -9x = 12 + -1 * 3x

Multiply -1 * 3
12 + -9x = 12 + -3x

Add '-12' to each side of the equation.
12 + -12 + -9x = 12 + -12 + -3x

Combine like terms: 12 + -12 = 0
0 + -9x = 12 + -12 + -3x
-9x = 12 + -12 + -3x

Combine like terms: 12 + -12 = 0
-9x = 0 + -3x
-9x = -3x

Solving
-9x = -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.
-9x + 3x = -3x + 3x

Combine like terms: -9x + 3x = -6x
-6x = -3x + 3x

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

Divide each side by '-6'.
x = 0

Simplifying
x = 0

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