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

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


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

Reorder the terms:
5(5 + 7x) = 8 + -5(7 + x)
(5 * 5 + 7x * 5) = 8 + -5(7 + x)
(25 + 35x) = 8 + -5(7 + x)
25 + 35x = 8 + (7 * -5 + x * -5)
25 + 35x = 8 + (-35 + -5x)

Combine like terms: 8 + -35 = -27
25 + 35x = -27 + -5x

Solving
25 + 35x = -27 + -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.
25 + 35x + 5x = -27 + -5x + 5x

Combine like terms: 35x + 5x = 40x
25 + 40x = -27 + -5x + 5x

Combine like terms: -5x + 5x = 0
25 + 40x = -27 + 0
25 + 40x = -27

Add '-25' to each side of the equation.
25 + -25 + 40x = -27 + -25

Combine like terms: 25 + -25 = 0
0 + 40x = -27 + -25
40x = -27 + -25

Combine like terms: -27 + -25 = -52
40x = -52

Divide each side by '40'.
x = -1.3

Simplifying
x = -1.3

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