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

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


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

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

Reorder the terms:
20 + 4x = 5(6 + x)
20 + 4x = (6 * 5 + x * 5)
20 + 4x = (30 + 5x)

Solving
20 + 4x = 30 + 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.
20 + 4x + -5x = 30 + 5x + -5x

Combine like terms: 4x + -5x = -1x
20 + -1x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -1x = 30 + 0
20 + -1x = 30

Add '-20' to each side of the equation.
20 + -20 + -1x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 30 + -20
-1x = 30 + -20

Combine like terms: 30 + -20 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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