6(x+5)-3(x-2)=12x+18

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Solution for 6(x+5)-3(x-2)=12x+18 equation:


Simplifying
6(x + 5) + -3(x + -2) = 12x + 18

Reorder the terms:
6(5 + x) + -3(x + -2) = 12x + 18
(5 * 6 + x * 6) + -3(x + -2) = 12x + 18
(30 + 6x) + -3(x + -2) = 12x + 18

Reorder the terms:
30 + 6x + -3(-2 + x) = 12x + 18
30 + 6x + (-2 * -3 + x * -3) = 12x + 18
30 + 6x + (6 + -3x) = 12x + 18

Reorder the terms:
30 + 6 + 6x + -3x = 12x + 18

Combine like terms: 30 + 6 = 36
36 + 6x + -3x = 12x + 18

Combine like terms: 6x + -3x = 3x
36 + 3x = 12x + 18

Reorder the terms:
36 + 3x = 18 + 12x

Solving
36 + 3x = 18 + 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.
36 + 3x + -12x = 18 + 12x + -12x

Combine like terms: 3x + -12x = -9x
36 + -9x = 18 + 12x + -12x

Combine like terms: 12x + -12x = 0
36 + -9x = 18 + 0
36 + -9x = 18

Add '-36' to each side of the equation.
36 + -36 + -9x = 18 + -36

Combine like terms: 36 + -36 = 0
0 + -9x = 18 + -36
-9x = 18 + -36

Combine like terms: 18 + -36 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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