7(x+5)+6(x-1)=-10

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Solution for 7(x+5)+6(x-1)=-10 equation: 


Simplifying
7(x + 5) + 6(x + -1) = -10

Reorder the terms:
7(5 + x) + 6(x + -1) = -10
(5 * 7 + x * 7) + 6(x + -1) = -10
(35 + 7x) + 6(x + -1) = -10

Reorder the terms:
35 + 7x + 6(-1 + x) = -10
35 + 7x + (-1 * 6 + x * 6) = -10
35 + 7x + (-6 + 6x) = -10

Reorder the terms:
35 + -6 + 7x + 6x = -10

Combine like terms: 35 + -6 = 29
29 + 7x + 6x = -10

Combine like terms: 7x + 6x = 13x
29 + 13x = -10

Solving
29 + 13x = -10

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + 13x = -10 + -29

Combine like terms: 29 + -29 = 0
0 + 13x = -10 + -29
13x = -10 + -29

Combine like terms: -10 + -29 = -39
13x = -39

Divide each side by '13'.
x = -3

Simplifying
x = -3

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