10x-8=2(4x+10)

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Solution for 10x-8=2(4x+10) equation:


Simplifying
10x + -8 = 2(4x + 10)

Reorder the terms:
-8 + 10x = 2(4x + 10)

Reorder the terms:
-8 + 10x = 2(10 + 4x)
-8 + 10x = (10 * 2 + 4x * 2)
-8 + 10x = (20 + 8x)

Solving
-8 + 10x = 20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-8 + 10x + -8x = 20 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-8 + 2x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-8 + 2x = 20 + 0
-8 + 2x = 20

Add '8' to each side of the equation.
-8 + 8 + 2x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 20 + 8
2x = 20 + 8

Combine like terms: 20 + 8 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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