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

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Solution for 8(x+3)+5(x+3)=7x-7 equation:


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

Reorder the terms:
8(3 + x) + 5(x + 3) = 7x + -7
(3 * 8 + x * 8) + 5(x + 3) = 7x + -7
(24 + 8x) + 5(x + 3) = 7x + -7

Reorder the terms:
24 + 8x + 5(3 + x) = 7x + -7
24 + 8x + (3 * 5 + x * 5) = 7x + -7
24 + 8x + (15 + 5x) = 7x + -7

Reorder the terms:
24 + 15 + 8x + 5x = 7x + -7

Combine like terms: 24 + 15 = 39
39 + 8x + 5x = 7x + -7

Combine like terms: 8x + 5x = 13x
39 + 13x = 7x + -7

Reorder the terms:
39 + 13x = -7 + 7x

Solving
39 + 13x = -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.
39 + 13x + -7x = -7 + 7x + -7x

Combine like terms: 13x + -7x = 6x
39 + 6x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
39 + 6x = -7 + 0
39 + 6x = -7

Add '-39' to each side of the equation.
39 + -39 + 6x = -7 + -39

Combine like terms: 39 + -39 = 0
0 + 6x = -7 + -39
6x = -7 + -39

Combine like terms: -7 + -39 = -46
6x = -46

Divide each side by '6'.
x = -7.666666667

Simplifying
x = -7.666666667

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