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

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


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

Reorder the terms:
3x + 6(-7 + x) = 4(3x + 6)
3x + (-7 * 6 + x * 6) = 4(3x + 6)
3x + (-42 + 6x) = 4(3x + 6)

Reorder the terms:
-42 + 3x + 6x = 4(3x + 6)

Combine like terms: 3x + 6x = 9x
-42 + 9x = 4(3x + 6)

Reorder the terms:
-42 + 9x = 4(6 + 3x)
-42 + 9x = (6 * 4 + 3x * 4)
-42 + 9x = (24 + 12x)

Solving
-42 + 9x = 24 + 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.
-42 + 9x + -12x = 24 + 12x + -12x

Combine like terms: 9x + -12x = -3x
-42 + -3x = 24 + 12x + -12x

Combine like terms: 12x + -12x = 0
-42 + -3x = 24 + 0
-42 + -3x = 24

Add '42' to each side of the equation.
-42 + 42 + -3x = 24 + 42

Combine like terms: -42 + 42 = 0
0 + -3x = 24 + 42
-3x = 24 + 42

Combine like terms: 24 + 42 = 66
-3x = 66

Divide each side by '-3'.
x = -22

Simplifying
x = -22

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