9(x+2)-2(7x+6)=-6(x-3)-4

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Solution for 9(x+2)-2(7x+6)=-6(x-3)-4 equation:


Simplifying
9(x + 2) + -2(7x + 6) = -6(x + -3) + -4

Reorder the terms:
9(2 + x) + -2(7x + 6) = -6(x + -3) + -4
(2 * 9 + x * 9) + -2(7x + 6) = -6(x + -3) + -4
(18 + 9x) + -2(7x + 6) = -6(x + -3) + -4

Reorder the terms:
18 + 9x + -2(6 + 7x) = -6(x + -3) + -4
18 + 9x + (6 * -2 + 7x * -2) = -6(x + -3) + -4
18 + 9x + (-12 + -14x) = -6(x + -3) + -4

Reorder the terms:
18 + -12 + 9x + -14x = -6(x + -3) + -4

Combine like terms: 18 + -12 = 6
6 + 9x + -14x = -6(x + -3) + -4

Combine like terms: 9x + -14x = -5x
6 + -5x = -6(x + -3) + -4

Reorder the terms:
6 + -5x = -6(-3 + x) + -4
6 + -5x = (-3 * -6 + x * -6) + -4
6 + -5x = (18 + -6x) + -4

Reorder the terms:
6 + -5x = 18 + -4 + -6x

Combine like terms: 18 + -4 = 14
6 + -5x = 14 + -6x

Solving
6 + -5x = 14 + -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.
6 + -5x + 6x = 14 + -6x + 6x

Combine like terms: -5x + 6x = 1x
6 + 1x = 14 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 1x = 14 + 0
6 + 1x = 14

Add '-6' to each side of the equation.
6 + -6 + 1x = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 14 + -6
1x = 14 + -6

Combine like terms: 14 + -6 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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