6(x+7)=3-3x+15x+3

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Solution for 6(x+7)=3-3x+15x+3 equation:


Simplifying
6(x + 7) = 3 + -3x + 15x + 3

Reorder the terms:
6(7 + x) = 3 + -3x + 15x + 3
(7 * 6 + x * 6) = 3 + -3x + 15x + 3
(42 + 6x) = 3 + -3x + 15x + 3

Reorder the terms:
42 + 6x = 3 + 3 + -3x + 15x

Combine like terms: 3 + 3 = 6
42 + 6x = 6 + -3x + 15x

Combine like terms: -3x + 15x = 12x
42 + 6x = 6 + 12x

Solving
42 + 6x = 6 + 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 + 6x + -12x = 6 + 12x + -12x

Combine like terms: 6x + -12x = -6x
42 + -6x = 6 + 12x + -12x

Combine like terms: 12x + -12x = 0
42 + -6x = 6 + 0
42 + -6x = 6

Add '-42' to each side of the equation.
42 + -42 + -6x = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -6x = 6 + -42
-6x = 6 + -42

Combine like terms: 6 + -42 = -36
-6x = -36

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

Simplifying
x = 6

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