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

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


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

Reorder the terms:
3 + x = 6(2x + 3) + -4

Reorder the terms:
3 + x = 6(3 + 2x) + -4
3 + x = (3 * 6 + 2x * 6) + -4
3 + x = (18 + 12x) + -4

Reorder the terms:
3 + x = 18 + -4 + 12x

Combine like terms: 18 + -4 = 14
3 + x = 14 + 12x

Solving
3 + x = 14 + 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.
3 + x + -12x = 14 + 12x + -12x

Combine like terms: x + -12x = -11x
3 + -11x = 14 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -11x = 14 + 0
3 + -11x = 14

Add '-3' to each side of the equation.
3 + -3 + -11x = 14 + -3

Combine like terms: 3 + -3 = 0
0 + -11x = 14 + -3
-11x = 14 + -3

Combine like terms: 14 + -3 = 11
-11x = 11

Divide each side by '-11'.
x = -1

Simplifying
x = -1

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