5(x+4)=6x-5

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Solution for 5(x+4)=6x-5 equation:


Simplifying
5(x + 4) = 6x + -5

Reorder the terms:
5(4 + x) = 6x + -5
(4 * 5 + x * 5) = 6x + -5
(20 + 5x) = 6x + -5

Reorder the terms:
20 + 5x = -5 + 6x

Solving
20 + 5x = -5 + 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.
20 + 5x + -6x = -5 + 6x + -6x

Combine like terms: 5x + -6x = -1x
20 + -1x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -1x = -5 + 0
20 + -1x = -5

Add '-20' to each side of the equation.
20 + -20 + -1x = -5 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -5 + -20
-1x = -5 + -20

Combine like terms: -5 + -20 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25

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