6(1+2x)+3x=-3x+24

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Solution for 6(1+2x)+3x=-3x+24 equation:


Simplifying
6(1 + 2x) + 3x = -3x + 24
(1 * 6 + 2x * 6) + 3x = -3x + 24
(6 + 12x) + 3x = -3x + 24

Combine like terms: 12x + 3x = 15x
6 + 15x = -3x + 24

Reorder the terms:
6 + 15x = 24 + -3x

Solving
6 + 15x = 24 + -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.
6 + 15x + 3x = 24 + -3x + 3x

Combine like terms: 15x + 3x = 18x
6 + 18x = 24 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 18x = 24 + 0
6 + 18x = 24

Add '-6' to each side of the equation.
6 + -6 + 18x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 18x = 24 + -6
18x = 24 + -6

Combine like terms: 24 + -6 = 18
18x = 18

Divide each side by '18'.
x = 1

Simplifying
x = 1

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