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

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


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

Reorder the terms:
7(3 + x) + 5(x + 3) = 5x + -5
(3 * 7 + x * 7) + 5(x + 3) = 5x + -5
(21 + 7x) + 5(x + 3) = 5x + -5

Reorder the terms:
21 + 7x + 5(3 + x) = 5x + -5
21 + 7x + (3 * 5 + x * 5) = 5x + -5
21 + 7x + (15 + 5x) = 5x + -5

Reorder the terms:
21 + 15 + 7x + 5x = 5x + -5

Combine like terms: 21 + 15 = 36
36 + 7x + 5x = 5x + -5

Combine like terms: 7x + 5x = 12x
36 + 12x = 5x + -5

Reorder the terms:
36 + 12x = -5 + 5x

Solving
36 + 12x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
36 + 12x + -5x = -5 + 5x + -5x

Combine like terms: 12x + -5x = 7x
36 + 7x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
36 + 7x = -5 + 0
36 + 7x = -5

Add '-36' to each side of the equation.
36 + -36 + 7x = -5 + -36

Combine like terms: 36 + -36 = 0
0 + 7x = -5 + -36
7x = -5 + -36

Combine like terms: -5 + -36 = -41
7x = -41

Divide each side by '7'.
x = -5.857142857

Simplifying
x = -5.857142857

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