5+6(x+8)=1-7x

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Solution for 5+6(x+8)=1-7x equation:


Simplifying
5 + 6(x + 8) = 1 + -7x

Reorder the terms:
5 + 6(8 + x) = 1 + -7x
5 + (8 * 6 + x * 6) = 1 + -7x
5 + (48 + 6x) = 1 + -7x

Combine like terms: 5 + 48 = 53
53 + 6x = 1 + -7x

Solving
53 + 6x = 1 + -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.
53 + 6x + 7x = 1 + -7x + 7x

Combine like terms: 6x + 7x = 13x
53 + 13x = 1 + -7x + 7x

Combine like terms: -7x + 7x = 0
53 + 13x = 1 + 0
53 + 13x = 1

Add '-53' to each side of the equation.
53 + -53 + 13x = 1 + -53

Combine like terms: 53 + -53 = 0
0 + 13x = 1 + -53
13x = 1 + -53

Combine like terms: 1 + -53 = -52
13x = -52

Divide each side by '13'.
x = -4

Simplifying
x = -4

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