10x-2=5(x+4)

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Solution for 10x-2=5(x+4) equation:


Simplifying
10x + -2 = 5(x + 4)

Reorder the terms:
-2 + 10x = 5(x + 4)

Reorder the terms:
-2 + 10x = 5(4 + x)
-2 + 10x = (4 * 5 + x * 5)
-2 + 10x = (20 + 5x)

Solving
-2 + 10x = 20 + 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.
-2 + 10x + -5x = 20 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-2 + 5x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 5x = 20 + 0
-2 + 5x = 20

Add '2' to each side of the equation.
-2 + 2 + 5x = 20 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 20 + 2
5x = 20 + 2

Combine like terms: 20 + 2 = 22
5x = 22

Divide each side by '5'.
x = 4.4

Simplifying
x = 4.4

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