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

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


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

Reorder the terms:
7(3 + x) + 4 = -3(x + -6) + -9
(3 * 7 + x * 7) + 4 = -3(x + -6) + -9
(21 + 7x) + 4 = -3(x + -6) + -9

Reorder the terms:
21 + 4 + 7x = -3(x + -6) + -9

Combine like terms: 21 + 4 = 25
25 + 7x = -3(x + -6) + -9

Reorder the terms:
25 + 7x = -3(-6 + x) + -9
25 + 7x = (-6 * -3 + x * -3) + -9
25 + 7x = (18 + -3x) + -9

Reorder the terms:
25 + 7x = 18 + -9 + -3x

Combine like terms: 18 + -9 = 9
25 + 7x = 9 + -3x

Solving
25 + 7x = 9 + -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.
25 + 7x + 3x = 9 + -3x + 3x

Combine like terms: 7x + 3x = 10x
25 + 10x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
25 + 10x = 9 + 0
25 + 10x = 9

Add '-25' to each side of the equation.
25 + -25 + 10x = 9 + -25

Combine like terms: 25 + -25 = 0
0 + 10x = 9 + -25
10x = 9 + -25

Combine like terms: 9 + -25 = -16
10x = -16

Divide each side by '10'.
x = -1.6

Simplifying
x = -1.6

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