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

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


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

Reorder the terms:
9(3 + x) + 7(x + 3) = 6x + -6
(3 * 9 + x * 9) + 7(x + 3) = 6x + -6
(27 + 9x) + 7(x + 3) = 6x + -6

Reorder the terms:
27 + 9x + 7(3 + x) = 6x + -6
27 + 9x + (3 * 7 + x * 7) = 6x + -6
27 + 9x + (21 + 7x) = 6x + -6

Reorder the terms:
27 + 21 + 9x + 7x = 6x + -6

Combine like terms: 27 + 21 = 48
48 + 9x + 7x = 6x + -6

Combine like terms: 9x + 7x = 16x
48 + 16x = 6x + -6

Reorder the terms:
48 + 16x = -6 + 6x

Solving
48 + 16x = -6 + 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.
48 + 16x + -6x = -6 + 6x + -6x

Combine like terms: 16x + -6x = 10x
48 + 10x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
48 + 10x = -6 + 0
48 + 10x = -6

Add '-48' to each side of the equation.
48 + -48 + 10x = -6 + -48

Combine like terms: 48 + -48 = 0
0 + 10x = -6 + -48
10x = -6 + -48

Combine like terms: -6 + -48 = -54
10x = -54

Divide each side by '10'.
x = -5.4

Simplifying
x = -5.4

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