4x-5+6x=5(x+2)

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Solution for 4x-5+6x=5(x+2) equation:


Simplifying
4x + -5 + 6x = 5(x + 2)

Reorder the terms:
-5 + 4x + 6x = 5(x + 2)

Combine like terms: 4x + 6x = 10x
-5 + 10x = 5(x + 2)

Reorder the terms:
-5 + 10x = 5(2 + x)
-5 + 10x = (2 * 5 + x * 5)
-5 + 10x = (10 + 5x)

Solving
-5 + 10x = 10 + 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.
-5 + 10x + -5x = 10 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-5 + 5x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + 5x = 10 + 0
-5 + 5x = 10

Add '5' to each side of the equation.
-5 + 5 + 5x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 10 + 5
5x = 10 + 5

Combine like terms: 10 + 5 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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