5(3x+5)=4x-8

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Solution for 5(3x+5)=4x-8 equation:


Simplifying
5(3x + 5) = 4x + -8

Reorder the terms:
5(5 + 3x) = 4x + -8
(5 * 5 + 3x * 5) = 4x + -8
(25 + 15x) = 4x + -8

Reorder the terms:
25 + 15x = -8 + 4x

Solving
25 + 15x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
25 + 15x + -4x = -8 + 4x + -4x

Combine like terms: 15x + -4x = 11x
25 + 11x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + 11x = -8 + 0
25 + 11x = -8

Add '-25' to each side of the equation.
25 + -25 + 11x = -8 + -25

Combine like terms: 25 + -25 = 0
0 + 11x = -8 + -25
11x = -8 + -25

Combine like terms: -8 + -25 = -33
11x = -33

Divide each side by '11'.
x = -3

Simplifying
x = -3

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