5(x+5)=x+6

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


Simplifying
5(x + 5) = x + 6

Reorder the terms:
5(5 + x) = x + 6
(5 * 5 + x * 5) = x + 6
(25 + 5x) = x + 6

Reorder the terms:
25 + 5x = 6 + x

Solving
25 + 5x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
25 + 5x + -1x = 6 + x + -1x

Combine like terms: 5x + -1x = 4x
25 + 4x = 6 + x + -1x

Combine like terms: x + -1x = 0
25 + 4x = 6 + 0
25 + 4x = 6

Add '-25' to each side of the equation.
25 + -25 + 4x = 6 + -25

Combine like terms: 25 + -25 = 0
0 + 4x = 6 + -25
4x = 6 + -25

Combine like terms: 6 + -25 = -19
4x = -19

Divide each side by '4'.
x = -4.75

Simplifying
x = -4.75

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