9(x+1)+3(x+1)=7x-7

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Solution for 9(x+1)+3(x+1)=7x-7 equation:


Simplifying
9(x + 1) + 3(x + 1) = 7x + -7

Reorder the terms:
9(1 + x) + 3(x + 1) = 7x + -7
(1 * 9 + x * 9) + 3(x + 1) = 7x + -7
(9 + 9x) + 3(x + 1) = 7x + -7

Reorder the terms:
9 + 9x + 3(1 + x) = 7x + -7
9 + 9x + (1 * 3 + x * 3) = 7x + -7
9 + 9x + (3 + 3x) = 7x + -7

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

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

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

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

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

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

Combine like terms: 7x + -7x = 0
12 + 5x = -7 + 0
12 + 5x = -7

Add '-12' to each side of the equation.
12 + -12 + 5x = -7 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = -7 + -12
5x = -7 + -12

Combine like terms: -7 + -12 = -19
5x = -19

Divide each side by '5'.
x = -3.8

Simplifying
x = -3.8

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