5(7x+8)=6x-11

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Solution for 5(7x+8)=6x-11 equation:


Simplifying
5(7x + 8) = 6x + -11

Reorder the terms:
5(8 + 7x) = 6x + -11
(8 * 5 + 7x * 5) = 6x + -11
(40 + 35x) = 6x + -11

Reorder the terms:
40 + 35x = -11 + 6x

Solving
40 + 35x = -11 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
40 + 35x + -6x = -11 + 6x + -6x

Combine like terms: 35x + -6x = 29x
40 + 29x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
40 + 29x = -11 + 0
40 + 29x = -11

Add '-40' to each side of the equation.
40 + -40 + 29x = -11 + -40

Combine like terms: 40 + -40 = 0
0 + 29x = -11 + -40
29x = -11 + -40

Combine like terms: -11 + -40 = -51
29x = -51

Divide each side by '29'.
x = -1.75862069

Simplifying
x = -1.75862069

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