9(x+5)+3(x+5)=7x-7

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Solution for 9(x+5)+3(x+5)=7x-7 equation:


Simplifying
9(x + 5) + 3(x + 5) = 7x + -7

Reorder the terms:
9(5 + x) + 3(x + 5) = 7x + -7
(5 * 9 + x * 9) + 3(x + 5) = 7x + -7
(45 + 9x) + 3(x + 5) = 7x + -7

Reorder the terms:
45 + 9x + 3(5 + x) = 7x + -7
45 + 9x + (5 * 3 + x * 3) = 7x + -7
45 + 9x + (15 + 3x) = 7x + -7

Reorder the terms:
45 + 15 + 9x + 3x = 7x + -7

Combine like terms: 45 + 15 = 60
60 + 9x + 3x = 7x + -7

Combine like terms: 9x + 3x = 12x
60 + 12x = 7x + -7

Reorder the terms:
60 + 12x = -7 + 7x

Solving
60 + 12x = -7 + 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.
60 + 12x + -7x = -7 + 7x + -7x

Combine like terms: 12x + -7x = 5x
60 + 5x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
60 + 5x = -7 + 0
60 + 5x = -7

Add '-60' to each side of the equation.
60 + -60 + 5x = -7 + -60

Combine like terms: 60 + -60 = 0
0 + 5x = -7 + -60
5x = -7 + -60

Combine like terms: -7 + -60 = -67
5x = -67

Divide each side by '5'.
x = -13.4

Simplifying
x = -13.4

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