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

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


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

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

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

Combine like terms: 18 + 4 = 22
22 + 6x = -7(x + -9) + -2

Reorder the terms:
22 + 6x = -7(-9 + x) + -2
22 + 6x = (-9 * -7 + x * -7) + -2
22 + 6x = (63 + -7x) + -2

Reorder the terms:
22 + 6x = 63 + -2 + -7x

Combine like terms: 63 + -2 = 61
22 + 6x = 61 + -7x

Solving
22 + 6x = 61 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
22 + 6x + 7x = 61 + -7x + 7x

Combine like terms: 6x + 7x = 13x
22 + 13x = 61 + -7x + 7x

Combine like terms: -7x + 7x = 0
22 + 13x = 61 + 0
22 + 13x = 61

Add '-22' to each side of the equation.
22 + -22 + 13x = 61 + -22

Combine like terms: 22 + -22 = 0
0 + 13x = 61 + -22
13x = 61 + -22

Combine like terms: 61 + -22 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3

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