x+2(4x+6)=3(x-7)-12

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Solution for x+2(4x+6)=3(x-7)-12 equation:


Simplifying
x + 2(4x + 6) = 3(x + -7) + -12

Reorder the terms:
x + 2(6 + 4x) = 3(x + -7) + -12
x + (6 * 2 + 4x * 2) = 3(x + -7) + -12
x + (12 + 8x) = 3(x + -7) + -12

Reorder the terms:
12 + x + 8x = 3(x + -7) + -12

Combine like terms: x + 8x = 9x
12 + 9x = 3(x + -7) + -12

Reorder the terms:
12 + 9x = 3(-7 + x) + -12
12 + 9x = (-7 * 3 + x * 3) + -12
12 + 9x = (-21 + 3x) + -12

Reorder the terms:
12 + 9x = -21 + -12 + 3x

Combine like terms: -21 + -12 = -33
12 + 9x = -33 + 3x

Solving
12 + 9x = -33 + 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.
12 + 9x + -3x = -33 + 3x + -3x

Combine like terms: 9x + -3x = 6x
12 + 6x = -33 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 6x = -33 + 0
12 + 6x = -33

Add '-12' to each side of the equation.
12 + -12 + 6x = -33 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = -33 + -12
6x = -33 + -12

Combine like terms: -33 + -12 = -45
6x = -45

Divide each side by '6'.
x = -7.5

Simplifying
x = -7.5

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