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

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


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

Reorder the terms:
2(2 + x) + 6(3) = 3(x + 3) + -1(6)
(2 * 2 + x * 2) + 6(3) = 3(x + 3) + -1(6)
(4 + 2x) + 6(3) = 3(x + 3) + -1(6)

Multiply 6 * 3
4 + 2x + 18 = 3(x + 3) + -1(6)

Reorder the terms:
4 + 18 + 2x = 3(x + 3) + -1(6)

Combine like terms: 4 + 18 = 22
22 + 2x = 3(x + 3) + -1(6)

Reorder the terms:
22 + 2x = 3(3 + x) + -1(6)
22 + 2x = (3 * 3 + x * 3) + -1(6)
22 + 2x = (9 + 3x) + -1(6)

Multiply -1 * 6
22 + 2x = 9 + 3x + -6

Reorder the terms:
22 + 2x = 9 + -6 + 3x

Combine like terms: 9 + -6 = 3
22 + 2x = 3 + 3x

Solving
22 + 2x = 3 + 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.
22 + 2x + -3x = 3 + 3x + -3x

Combine like terms: 2x + -3x = -1x
22 + -1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -1x = 3 + 0
22 + -1x = 3

Add '-22' to each side of the equation.
22 + -22 + -1x = 3 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 3 + -22
-1x = 3 + -22

Combine like terms: 3 + -22 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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