2(2x+7)+3(x-1)=6(x+3)-18

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Solution for 2(2x+7)+3(x-1)=6(x+3)-18 equation:


Simplifying
2(2x + 7) + 3(x + -1) = 6(x + 3) + -18

Reorder the terms:
2(7 + 2x) + 3(x + -1) = 6(x + 3) + -18
(7 * 2 + 2x * 2) + 3(x + -1) = 6(x + 3) + -18
(14 + 4x) + 3(x + -1) = 6(x + 3) + -18

Reorder the terms:
14 + 4x + 3(-1 + x) = 6(x + 3) + -18
14 + 4x + (-1 * 3 + x * 3) = 6(x + 3) + -18
14 + 4x + (-3 + 3x) = 6(x + 3) + -18

Reorder the terms:
14 + -3 + 4x + 3x = 6(x + 3) + -18

Combine like terms: 14 + -3 = 11
11 + 4x + 3x = 6(x + 3) + -18

Combine like terms: 4x + 3x = 7x
11 + 7x = 6(x + 3) + -18

Reorder the terms:
11 + 7x = 6(3 + x) + -18
11 + 7x = (3 * 6 + x * 6) + -18
11 + 7x = (18 + 6x) + -18

Reorder the terms:
11 + 7x = 18 + -18 + 6x

Combine like terms: 18 + -18 = 0
11 + 7x = 0 + 6x
11 + 7x = 6x

Solving
11 + 7x = 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
11 + 7x + -6x = 6x + -6x

Combine like terms: 7x + -6x = 1x
11 + 1x = 6x + -6x

Combine like terms: 6x + -6x = 0
11 + 1x = 0

Add '-11' to each side of the equation.
11 + -11 + 1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 0 + -11
1x = 0 + -11

Combine like terms: 0 + -11 = -11
1x = -11

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

Simplifying
x = -11

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